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Circuit quantum electrodynamics with a quadruple quantum dot
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作者 林霆 李海欧 +1 位作者 曹刚 郭国平 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第7期150-155,共6页
In this theoretical work,we describe a mechanism for the coupling between a plane structure consisting of four quantum dots and a resonator.We systematically study the dependence of the quadruple coupling strength and... In this theoretical work,we describe a mechanism for the coupling between a plane structure consisting of four quantum dots and a resonator.We systematically study the dependence of the quadruple coupling strength and the qubit decoherence rate and point out the optimized operating position of the hybrid system.According to the transmission given by the input-output theory,the signatures in the resonator spectrum are predicted.Furthermore,based on the parameters already achieved in previous works,we prove that the device described in this paper can achieve the strong coupling limit,i.e.,this approach can be used for system extension under the existing technical conditions.Our results show an effective and promotable approach to couple quantum dot structures in plane with the resonator and propose a meaningful extension method. 展开更多
关键词 semiconductor qubit circuit quantum electrodynamics(QED) semiconductor quantum dot scalable semiconductor-based circuit QED architectures
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Shadow thermodynamics of AdS black hole with the nonlinear electrodynamics term
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作者 郑何斌 牟平辉 +1 位作者 陈芸仙 李国平 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期201-208,共8页
We creatively employ the shadow radius to study the thermodynamics of a charged Ad S black hole with a nonlinear electrodynamics(NLED)term.First,the connection between the shadow radius and event horizon is constructe... We creatively employ the shadow radius to study the thermodynamics of a charged Ad S black hole with a nonlinear electrodynamics(NLED)term.First,the connection between the shadow radius and event horizon is constructed with the aid of the geodesic analysis.It turns out that the black hole shadow radius shows a positive correlation as a function of the event horizon radius.Then in the shadow context,we find that the black hole temperature and heat capacity can be presented by the shadow radius.Further analysis shows that the shadow radius can work similarly to the event horizon in revealing black hole phase transition process.In this sense,we construct the thermal profile of the charged Ad S black hole with inclusion of the NLED effect.In the P<Pc case,it is found that the N-type trend of the temperature given by the shadow radius is always consistent with that obtained by using the event horizon.Thus,we can conclude for the charged Ad S black hole that the phase transition process can be intuitively presented as the thermal profile in the shadow context.Finally,the effects of NLED are carefully analyzed. 展开更多
关键词 AdS black hole the nonlinear electrodynamics shadow thermodynamics
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Hints of the Photonic Nature of the Electromagnetic Fields in Classical Electrodynamics
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作者 Vernon Cooray Gerald Cooray +1 位作者 Marcos Rubinstein Farhad Rachidi 《Journal of Electromagnetic Analysis and Applications》 2023年第3期25-42,共18页
Several recent publications show that the electromagnetic radiation generated by transmitting antennas satisfy the following universal conditions: The time domain radiation fields satisfy the condition A ≥ h/4π &... Several recent publications show that the electromagnetic radiation generated by transmitting antennas satisfy the following universal conditions: The time domain radiation fields satisfy the condition A ≥ h/4π &Rightarrow;q ≥ e where A is the action of the radiation field, which is defined as the product of the radiated energy and the duration of the radiation, h is the Planck constant, e is the electronic charge and q is the charge associated with the radiating system. The frequency domain radiation fields satisfy the condition U ≥ hv &Rightarrow;q ≥ e where U is the energy radiated in a single burst of radiation of duration T/2 and v is the frequency of oscillation. The goal of this paper is to show that these conditions, which indeed are expressions of the photonic nature of the electromagnetic fields, are satisfied not only by the radiation fields generated by physical antennas but also by the radiation fields generated by accelerating or decelerating electric charges. The results presented here together with the results obtained in previous studies show that hints of the photonic nature of the electromagnetic radiation remain hidden in the field equations of classical electrodynamics, and they become apparent when the dimension of the radiating system is pushed to the extreme limits as allowed by nature. 展开更多
关键词 Classical electrodynamics Electromagnetic Radiation Action Radiated Energy PHOTON Heisenberg’s Uncertainty Principle Dark Energy Vacuum Energy Hubble Radius
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Quantum electrodynamics in a laser and the electron laser collisionQuantum electrodynamics in a laser and the electron laser collision 被引量:1
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作者 张启仁 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第1期84-97,共14页
Quantum electrodynamics in a laser is formulated, in which the electron-laser interaction is exactly considered, while the interaction of an electron and a single photon is considered by perturbation. The formulation ... Quantum electrodynamics in a laser is formulated, in which the electron-laser interaction is exactly considered, while the interaction of an electron and a single photon is considered by perturbation. The formulation is applied to the electron- laser collisions. The effect of coherence between photons in the laser is therefore fully considered in these collisions. The possibility of y-ray laser generation by use of this kind of collision is discussed. 展开更多
关键词 quantum electrodynamics in a laser electron-laser collisions DISTORTION of ELECTRON wave by thelaser y-ray LASER generationquantum electrodynamics in a laser electron-laser collisions DISTORTION of ELECTRON wave by thelaser y-ray LASER generationquantum electrodynamics in a laser electron-laser collisions DISTORTION of ELECTRON wave by the laser y-ray LASER generation
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Dynamic properties of atomic collective decay in cavity quantum electrodynamics 被引量:1
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作者 韩玉峰 朱成杰 +1 位作者 黄仙山 羊亚平 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第12期304-310,共7页
We theoretically study the collective decay of two atoms trapped in a single mode cavity and we describe the evolution of the population of Dicke states. We show that the collective decay property is strongly dependen... We theoretically study the collective decay of two atoms trapped in a single mode cavity and we describe the evolution of the population of Dicke states. We show that the collective decay property is strongly dependent on the phase of atomic radiation and the speeding up of collective decay can only be observed in a bad cavity regime. For in-or out-phase case,this occurs due to the quantum interference enhancement, no matter which atom is excited initially. For π/2 phase, the speeding up of collective decay takes place if the first atom is excited at the beginning. However, it disappears due to the quantum interference cancellation if the second atom is excited. Compared with the in-phase and out-phase cases,we also show that the speeding up of collective decay can be significantly enhanced in strong coupling regime for π/2 phase, although one atom is decoupled to the cavity in this condition. The study presented here is helpful to understand the physical mechanism of collective decay in cavity quantum electrodynamics and it provides a useful method to control the collective decay phenomenon via quantum interference effect. 展开更多
关键词 QUANTUM interference COLLECTIVE DECAY CAVITY QUANTUM electrodynamics
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Revised Quantum Electrodynamics in a Condensed Form 被引量:1
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作者 Bo Lehnert 《Journal of Modern Physics》 2016年第11期1316-1319,共4页
This theory aims beyond the possibilities being available from the Standard Model. Examples are given by the directly obtained rest masses of the elementary particles, the deduced values of the elementary charge and o... This theory aims beyond the possibilities being available from the Standard Model. Examples are given by the directly obtained rest masses of the elementary particles, the deduced values of the elementary charge and of the mass of the boson detected by CERN which are close to their experimental data, and by an incorporated spin of the photon. 展开更多
关键词 Quantum electrodynamics Zero Point Energy Standard Model and beyond
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Applications of Galilei Covariant Electrodynamics to VacuumSubstratum Phenomena in Absolute Space and Time
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作者 H E. Wilhelm (AED-Technologies, Thermopolis, WY 82443, U.S. A) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1995年第4期59-85,共27页
The Galilei covariant generalizations of the EM field equations (1984) (including moving media), Schroedinger, and Dirac (1985, 1993) equations for inertial frames S(w) with substratum velocity w are re- viewed. By G-... The Galilei covariant generalizations of the EM field equations (1984) (including moving media), Schroedinger, and Dirac (1985, 1993) equations for inertial frames S(w) with substratum velocity w are re- viewed. By G-covariant electrodynamics, physical variables, e.g., rod length, clock rate, particle mass, momentum, and energy are G-invariants, determined by the object velocity v-w= vo=G-inv relative to the substratum frame, So(w=0) [v=object velocity relative to observer in S(w)] Galilean measurements using standard (i) contracted rods and (ii) retarded clocks, anisotropic light propagation, and conservation of EM energy and momentum in IFs S(w) are discussed. Fundamental experiments are formulated which permit measurement of substratum (w) induced EM and charge fields, the substratum velocity w, and verification of the G-invariance of the magnetic field, B= Bo=G-inv. The G-invariant Lagrangian and Hamiltonian of a charged particle in EM fields, and the momentum and energy conservation equations in Particle collisions are given for velocities |v-w|<co. The EM Doppler effects for moving source or moving observer are shown to exhibit measurable substratum effects. The spectral lines from a recoiling atom exhibit superimposed Doppler and substratum (w) shifts. The measurable substratum effects in the (i) aberration of light and (ii) reflection of light from a moving mirror are evaluated. The EM fields of accelerated charges in the substratum flow w are given, and applied to the anisotropic emission of x-rays in IFs S(w). G-covariant electrodynamics is examined for subluminal and superluminal electron velocities. Both the Cerenkov effect in (i) dielectrics for Iv--wl> c(ro) and (ii) vacuum for |v-w| > co are relative to the substratum So, and demonstrate the anisotropy of the vacuum in IFs S(w). G-covariant electrodynamics (relative to substratum) contains Lorentz covariant electrodynamics (relative to observer) in the special case w = 0 (So). 展开更多
关键词 Vacuum SUBSTRATUM Galilei COVARIANCE electrodynamics Quantum mechanics SUBSTRATUM effects SUBSTRATUM experiments Failure of special relativity.
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Fast generation of W state via superadiabatic-based shortcut in circuit quantum electrodynamics
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作者 王雪梅 张安琪 +1 位作者 许鹏 赵生妹 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第3期61-67,共7页
We propose a scheme to fast prepare the three-qubit W state via superadiabatic-based shortcuts in a circuit quantumelectrodynamics (circuit QED) system. We derive the effective Hamiltonian to suppress the unwanted tra... We propose a scheme to fast prepare the three-qubit W state via superadiabatic-based shortcuts in a circuit quantumelectrodynamics (circuit QED) system. We derive the effective Hamiltonian to suppress the unwanted transitions betweendifferent eigenstates by counterdiabatic driving, and obtain the W state with high-fidelity based on the superadiabaticpassage. The numerical simulation results demonstrate that the proposed scheme can accelerate the evolution, and is moreefficient than that with the adiabatic passage. In addition, the proposed scheme is robust to the decoherence caused by theresonator decay and qubit relaxation, and does not need additional parameters, which could be feasible in experiment. 展开更多
关键词 W state superadiabatic-based shortcut circuit quantum electrodynamics
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Thermal properties of regular black hole with electric charge in Einstein gravity coupled to nonlinear electrodynamics
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作者 魏益焕 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第12期113-117,共5页
We propose a regular spherically symmetric spacetime solution with three parameters in Einstein gravity coupled to nonlinear electrodynamics(NED), which describes the NED black hole with electric charge. It is found t... We propose a regular spherically symmetric spacetime solution with three parameters in Einstein gravity coupled to nonlinear electrodynamics(NED), which describes the NED black hole with electric charge. It is found that the system enclosed by the horizon of NED spacetime satisfies the first law of thermodynamics. In order to obtain the NED spacetime with only electric charge, the case of two parameters taking the same value is considered. In this case, we express the mass of the NED spacetime as a function of the entropy and electric charge of the NED black hole, give the Smarr-like formula and the approximate Smarr formula for the mass of NED spacetime. 展开更多
关键词 regular nonlinear electrodynamics(NED) spacetime NED black hole with electric charge first law of thermodynamics Smarr formula
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Impacts of Revised Quantum Electrodynamics on Fundamental Physics
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作者 Bo Lehnert 《Journal of Electromagnetic Analysis and Applications》 2018年第5期106-118,共13页
A revised quantum electrodynamic theory by the author is reconsidered, in respect to the basic concepts established by M. Planck and H.B.G. Casimir on the Zero Point Energy (ZPE) and by A. Einstein on Special Relativi... A revised quantum electrodynamic theory by the author is reconsidered, in respect to the basic concepts established by M. Planck and H.B.G. Casimir on the Zero Point Energy (ZPE) and by A. Einstein on Special Relativity. Attention is given to the new properties of its field equations and their applications. These equations include results not being available from conventional theory and the Standard Model. This concerns the internal structure of elementary particles, such as the photon, the electron, muon and tauon, the Z boson, and the so called Higgs particle detected in the experiments at the laboratory of CERN. A possible unification of electrodynamics and the strong nuclear force is further provided by the theory. Finally, there are aspects on the expanding universe represented by a new interpretation of dark matter and dark energy in terms of the ZPE. 展开更多
关键词 Quantum electrodynamics Standard Model and Beyond Zero Point ENERGY HIGGS Particle Unification of electrodynamics and the Strong Force Expanding UNIVERSE DARK Matter and DARK ENERGY
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Electrodynamics of Inhomogeneous (Laminated, Angular) Structures
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作者 Nikolay N. Grinchik 《Journal of Electromagnetic Analysis and Applications》 2014年第5期57-105,共49页
The consistent physic-mathematical model of propagation of an electromagnetic wave in a heterogeneous medium is constructed using the generalized wave equation and the Dirichlet theorem. Twelve conditions at the inter... The consistent physic-mathematical model of propagation of an electromagnetic wave in a heterogeneous medium is constructed using the generalized wave equation and the Dirichlet theorem. Twelve conditions at the interfaces of adjacent media are obtained and justified without using a surface charge and surface current in explicit form. The conditions are fulfilled automatically in each section of counting schemes for calculations. A consistent physicomathematical model of interaction of nonstationary electric and thermal fields in a layered medium with allowance or mass transfer is constructed. The model is based on the methods of thermodynamics and on the equations of an electromagnetic field and is formulated without explicit separation of the charge carriers and the charge of an electric double layer. The influence of a slowly moving medium on the electromagnetic wave propagation is considered. The calculation results show the absence of the influence of the medium’s motion on the phase shift of waves, which is consistent with experimental data. 展开更多
关键词 Electromagnetic Wave Heterogeneous Medium Surface-Impedance Matrix Induced Surface Charge Boundary Conditions ELECTRODIFFUSION Phenomena in Electrolytes Energy Density Heat in electrodynamics Aeroacoustics
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Remarkable Predictions of Classical Electrodynamics on Elementary Charge and the Energy Density of Vacuum
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作者 Vernon Cooray Gerald Cooray 《Journal of Electromagnetic Analysis and Applications》 2018年第5期77-87,共11页
In a recent paper, we have studied the nature of the electromagnetic energy radiated over a single period of oscillation by an antenna working in frequency domain under ideal conditions and without losses when the osc... In a recent paper, we have studied the nature of the electromagnetic energy radiated over a single period of oscillation by an antenna working in frequency domain under ideal conditions and without losses when the oscillating charge in the antenna is reduced to the elementary charge. Here we extend and expand that study. The energy radiated by an oscillating current in an antenna occurs in bursts of duration T/2, where T is the period of oscillation. The results obtained here, based purely on classical electrodynamics, can be summarized by the inequality U ≥hv→q0 ≥e where U is the energy radiated in a single burst of duration T/2, h is the Planck constant, ν is the frequency of oscillation and q0 is the magnitude of the oscillating charge associated with the current. The condition U=hv→q0=e is obtained when the length of the antenna is equal to the ultimate Hubble radius of the universe (i.e. the maximum value of the antenna length allowed by nature) and the wavelength is equal to the Bohr radius (resulting from the smallest possible radius of the conductor allowed by nature). The ultimate Hubble radius is directly related to the vacuum energy density. The inequality obtained here is in general agreement with the one obtained in the previous study. One novel feature of this extended analysis is the discovery of an expression, in terms of the elementary charge and other atomic constants, for the vacuum energy density of the universe. This expression predicts the vacuum energy density to be about 4×10-10?J/m3 which is in reasonable agreement with the measured value of 6×10-10 J/m3. 展开更多
关键词 Classical electrodynamics Electromagnetic Radiation Oscillating Currents ENERGY of a Photon RADIUS of the Universe HUBBLE RADIUS VACUUM ENERGY Dark ENERGY ELEMENTARY CHARGE Electronic CHARGE
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Zero Point Energy Effects on Quantum Electrodynamics
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作者 Bo Lehnert 《Journal of Modern Physics》 2015年第4期448-452,共5页
The vacuum is not a state of empty space, but is populated by electromagnetic fluctuations at a lowest nonzero level, the Zero Point Energy (ZPE). As distinguished from conventional theories, such as that of the Stand... The vacuum is not a state of empty space, but is populated by electromagnetic fluctuations at a lowest nonzero level, the Zero Point Energy (ZPE). As distinguished from conventional theories, such as that of the Standard Model, the present revised quantum electrodynamic theory (RQED) includes the ZPE in its field equations. This leads to new results far beyond those obtained from conventional theories such as those by Dirac and Higgs. Thus, the present theory results in massive elementary particles from the beginning, being independent of the theory by Higgs. This paper describes the background and results of RQED, summarizing the weak points of conventional theories, the unification of included fundamental concepts, the present basic field equations, new obtained results, and special points of experimental support. In other words, the new points stressed in this paper are in particular the relation between a nonzero electric field divergence in the vacuum and the ZPE, and a number of new experimentally supported results due to a nonzero ZPE energy density in the same state. 展开更多
关键词 ZERO POINT Energy QUANTUM electrodynamics Standard Model and BEYOND
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Some Elucidations of the Theory on Revised Quantum Electrodynamics
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作者 Bo Lehnert 《Journal of Modern Physics》 2015年第11期1695-1700,共6页
A theory elaborated by the author on revised quantum electrodynamics (RQED) is elucidated in a condensed form on special important points. The latter concerns the basic electromagnetic field equations in a vacuum stat... A theory elaborated by the author on revised quantum electrodynamics (RQED) is elucidated in a condensed form on special important points. The latter concerns the basic electromagnetic field equations in a vacuum state, the connection of this state with the Zero Point Energy (ZPE), the procedure of quantization, steady states of particle models, the concept of the individual photon, and examples on experimental support of the theory. 展开更多
关键词 QUANTUM electrodynamics ZERO POINT Energy Standard Model and BEYOND
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Reverse Engineering Approach to Quantum Electrodynamics
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作者 Walter Smilga 《Journal of Modern Physics》 2013年第5期561-571,共11页
The S matrix of e-e scattering has the structure of a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine... The S matrix of e-e scattering has the structure of a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine-structure constant α acts as a normalization factor. When the structure of the two-particle state space is known, a theoretical value of the normalization factor can be calculated. For an irreducible two-particle representation of the Poincaré group, the calculated normalization factor matches Wyler’s semi-empirical formula for the fine-structure constant α. The empirical value of α, therefore, provides experimental evidence that the state space of two interacting electrons belongs to an irreducible two-particle representation of the Poincaré group. 展开更多
关键词 Quantum electrodynamics FINE-STRUCTURE Constant Entanglement GAUGE INVARIANCE Reverse Engineering
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Novel Features of Classical Electrodynamics and Their Connection to the Elementary Charge, Energy Density of Vacuum and Heisenberg’s Uncertainty Principle—Review and Consolidation
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作者 Vernon Cooray Gerald Cooray 《Journal of Modern Physics》 2019年第1期74-90,共17页
The paper provides a review and conciliation of the results pertinent to the energy and action associated with electromagnetic radiation obtained using classical electrodynamics and published in several journal papers... The paper provides a review and conciliation of the results pertinent to the energy and action associated with electromagnetic radiation obtained using classical electrodynamics and published in several journal papers. The results presented in those papers are based on three systems that generate electromagnetic radiation, namely, frequency domain antennas, time domain antennas and decelerating (or accelerating) charged elementary particles. In the case of radiation generated by a frequency domain antenna, the energy dissipated as radiation within half a period, U, satisfies the order of magnitude inequality U ≥ hv → q ≥ e where q is the magnitude of the oscillating charge in the antenna, e is the elementary charge, v is the frequency and h is the Planck constant. In the case of transient radiation fields generated by time domain antennas or the radiation emitted by decelerating (or accelerating) charged elementary particles, the energy dissipated by the system as radiation satisfies the order of magnitude inequality Uτr ≥ h/4π → q ≥ e where U is the energy dissipated as radiation by the system τr, is the duration of the energy emission and q is either the charge in the current pulse in the case of the time domain antenna or the charge of the elementary particle giving rise to the radiation. These results are derived while adhering strictly to the principles of classical electrodynamics alone. These results were interpreted in different papers in different ways using different assumptions. In this paper, we provide a unified interpretation of the results, and combining these results with two simple quantum mechanical concepts, expression for the elementary charge as a function of other natural constants and the energy density of vacuum is derived. The expressions predict the elementary charge to an accuracy higher than about 1%. 展开更多
关键词 Classical electrodynamics Electromagnetic Radiation Electron ELEMENTARY CHARGE VACUUM ENERGY Dark ENERGY HUBBLE Radius Heisenberg’s Uncertainty Principle
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The Universal Expression for the Amplitude Square in Quantum Electrodynamics
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作者 Konstantin Karplyuk Oleksandr Zhmudskyy 《Journal of Modern Physics》 2015年第15期2219-2225,共7页
The universal expression for the amplitude square ?for any matrix of interaction M is derived. It has obvious covariant form. It allows the avoidance of calculation of products of the Dirac’s matrices traces and allo... The universal expression for the amplitude square ?for any matrix of interaction M is derived. It has obvious covariant form. It allows the avoidance of calculation of products of the Dirac’s matrices traces and allows easy calculation of cross-sections of any different processes with polarized and unpolarized particles. 展开更多
关键词 Quantum electrodynamics AMPLITUDE SQUARE POLARIZED Particles
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Research on the Teaching and Reform of Electrodynamics Course Based on Multi Dimensions
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作者 Quan Li 《Journal of Educational Theory and Management》 2020年第1期39-41,共3页
Electrodynamics,as one of the four major mechanics,is a required course for college students majoring in physics.It reveals the laws and essence of physical phenomena more profoundly,so it is more difficult and the cu... Electrodynamics,as one of the four major mechanics,is a required course for college students majoring in physics.It reveals the laws and essence of physical phenomena more profoundly,so it is more difficult and the current teaching situation is not optimistic.Based on the structure and characteristics of electrodynamics,this paper studies the teaching and reform of electrodynamics from multiple dimensions,in order to achieve teaching innovation according to the requirements of the new curriculum reform and the concept of modern talent training,and provide students with higher quality teaching services. 展开更多
关键词 MULTI DIMENSION electrodynamics COURSE TEACHING COURSE REFORM
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Electrodynamics in Curvilinear Coordinates and the Equation of a Geodesic Line
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作者 Anatoly V. Parfyonov 《Journal of Modern Physics》 CAS 2022年第11期1382-1402,共21页
The creation of the theory of relativity, which discovered the equivalence of mass and energy, showed that the concept of a point charge, used in the formulation of Coulomb’s law, one of the basic laws of classical e... The creation of the theory of relativity, which discovered the equivalence of mass and energy, showed that the concept of a point charge, used in the formulation of Coulomb’s law, one of the basic laws of classical electrodynamics, contradicts the famous formula establishing the equivalence of mass and energy. But the discovery of quarks makes it possible to present classical electrodynamics in a form free from the indicated contradiction. In the article, having considered the electromagnetic field in a curvilinear coordinate system, a theory has been created that expands our understanding of the electromagnetic field, the nature of quarks, the nature of strong interaction, and the connection between strong interaction and electromagnetic interaction. This theory is based on the principle of equivalence of an electromagnetic field to a free material particle formulated in the article and the law of formation of elementary particles from an electromagnetic field that follows from it. 展开更多
关键词 electrodynamics Electromagnetic Field Curvilinear Coordinates QUARKS Strong Interaction Equation of a Geodesic Line
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Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin
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作者 Stanislaw Olszewski 《Journal of Modern Physics》 2015年第15期2202-2210,共9页
Electrodynamics of the one-electron currents due to the circular orbital motion of the electron particle in the hydrogen atom has been examined. The motion is assumed to be induced by the time change of the magnetic f... Electrodynamics of the one-electron currents due to the circular orbital motion of the electron particle in the hydrogen atom has been examined. The motion is assumed to be induced by the time change of the magnetic field in the atom. A characteristic point is that the electric resistance calculated for the motion is independent of the orbit index and its size is similar to that obtained earlier experimentally for the planar free-electron-like structures considered in the integer quantum Hall effect. Other current parameters like conductivity and the relaxation time behave in a way similar to that being typical for metals. A special attention was attached to the relations between the current intensity and magnetic field. A correct reproduction of this field with the aid of the Biot-Savart law became possible when the geometrical microstructure of the electron particle has been explicitly taken into account. But the same microstructure properties do influence also the current velocity. In fact the current suitable for the Biot-Savart law should have a speed characteristic for a spinning electron particle and not that of a spinless electron circulating along the orbit of the original Bohr model. 展开更多
关键词 ONE-ELECTRON ORBITAL current in the hydrogen atom ELECTRON microstructure. electrodynamical properties without and with the ELECTRON SPIN
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