In this paper, we study the topological structure of the singular points of the third order phase locked loop equations with the character of detected phase being g(?) =(1+k)sin?/1+kcos?.
In the gravitational field of central mass with electric and magnetic charges and magnetic moment (CM spacetime), this paper calculates the interference phase of mass neutrino along geodesic in the radial direction,...In the gravitational field of central mass with electric and magnetic charges and magnetic moment (CM spacetime), this paper calculates the interference phase of mass neutrino along geodesic in the radial direction, and discusses the contribution of the electric and magnetic charges and magnetic moment of the central mass to the phase.展开更多
In Reissner-NordstrSm-de Sitter space-time, we calculate the interference phase of mass neutrino along geodesic in the radial direction, and then investigate the effects of the cosmological constant A on the phase. Mo...In Reissner-NordstrSm-de Sitter space-time, we calculate the interference phase of mass neutrino along geodesic in the radial direction, and then investigate the effects of the cosmological constant A on the phase. Morever, the expression of the interference phase can be reduced to that in Reissner-Nordstrom space-time when A approaches to zero.展开更多
Along the geodesic we calculate the interference phase of the mass neutrinos propagating in the radial direction in Robertson-Walker space-time. Since our universe is expanding, the phase factor Ф is increasing under...Along the geodesic we calculate the interference phase of the mass neutrinos propagating in the radial direction in Robertson-Walker space-time. Since our universe is expanding, the phase factor Ф is increasing under the condition of the same proper physical distance l. Different values of curvature parameter k in Robertson Walker metric represent different cosmological models, correspondingly, we obtain the different interference phases.展开更多
The mass neutrino interference phases along the null trajectory and the geodesic line in Kerr space-time are studied on the plane θ = π/2. Because of the rotation object in Kerr space-time, a particle travelling alo...The mass neutrino interference phases along the null trajectory and the geodesic line in Kerr space-time are studied on the plane θ = π/2. Because of the rotation object in Kerr space-time, a particle travelling along the radial geodesic must have a dragging effect produced by the angular momentum of the central object. We give the correction of the phase due to the rotation of the space-time. We find that the type-I interference phase along the geodesic remains the double of that along the null on the condition that the rotating quantity parameter a^2 is preserved and the higher order terms are negligible (e.g. a^4). In addition, we calculate the proper oscillation length in Kerr space-time. All of our results can return to those in Schwarzschild space-time as the rotating parameter a approaches zero.展开更多
Experimental and theoretical studies of the mechanisms of vibration stimulation of oil recovery in watered fields lead to the conclusion that resonance oscillations develop in fractured-block formations. These oscilla...Experimental and theoretical studies of the mechanisms of vibration stimulation of oil recovery in watered fields lead to the conclusion that resonance oscillations develop in fractured-block formations. These oscillations, caused by weak but long-lasting and frequency-stable influences, create the conditions for ultrasonic wave’s generation in the layers, which are capable of destroying thickened oil membranes in reservoir cracks. For fractured-porous reservoirs in the process of exploitation by the method of water high-pressure oil displacement, the possibility of intensifying ultrasonic vibrations can have an important technological significance. Even a very weak ultrasound can destroy, over a long period of time, the viscous oil membranes formed in the cracks between the blocks, which can be the reason for lowering the permeability of the layers and increasing the oil recovery. To describe these effects, it is necessary to consider the wave process in a hierarchically blocky environment and theoretically simulate the mechanism of the appearance of self-oscillations under the action of relaxation shear stresses. For the analysis of seism acoustic response in time on fixed intervals along the borehole an algorithm of phase diagrams of the state of many-phase medium is suggested.展开更多
First a description of 2+1 dimensional non-commutative(NC) phase space is presented,and then we find that in this formulation the generalized Bopp's shift has a symmetric representation and one can easily and stra...First a description of 2+1 dimensional non-commutative(NC) phase space is presented,and then we find that in this formulation the generalized Bopp's shift has a symmetric representation and one can easily and straightforwardly define the star product on NC phase space. Then we define non-commutative Lorentz transformations both on NC space and NC phase space. We also discuss the Poincare symmetry. Finally we point out that our NC phase space formulation and the NC Lorentz transformations are applicable to any even dimensional NC space and NC phase space.展开更多
文摘In this paper, we study the topological structure of the singular points of the third order phase locked loop equations with the character of detected phase being g(?) =(1+k)sin?/1+kcos?.
基金Project supported by National Basic Research Program of China (Grant No 2003CB716300)the National Natural Science Foundation of China (Grant No 10873004)+1 种基金the Scientific Research Fund of Hunan Provincial Education Department (Grant No 08B051)the Scientific Research Fund of Hunan Normal University
文摘In the gravitational field of central mass with electric and magnetic charges and magnetic moment (CM spacetime), this paper calculates the interference phase of mass neutrino along geodesic in the radial direction, and discusses the contribution of the electric and magnetic charges and magnetic moment of the central mass to the phase.
基金supported by the State Key Development Program for Basic Research Program of China (Grant No.2010CB832803)the National Natural Science Foundation of China (Grant No.10873004)the Scientific Research Fund of Hunan Provincial Education Department,China (Grant No.08B051)
文摘In Reissner-NordstrSm-de Sitter space-time, we calculate the interference phase of mass neutrino along geodesic in the radial direction, and then investigate the effects of the cosmological constant A on the phase. Morever, the expression of the interference phase can be reduced to that in Reissner-Nordstrom space-time when A approaches to zero.
文摘Along the geodesic we calculate the interference phase of the mass neutrinos propagating in the radial direction in Robertson-Walker space-time. Since our universe is expanding, the phase factor Ф is increasing under the condition of the same proper physical distance l. Different values of curvature parameter k in Robertson Walker metric represent different cosmological models, correspondingly, we obtain the different interference phases.
文摘The mass neutrino interference phases along the null trajectory and the geodesic line in Kerr space-time are studied on the plane θ = π/2. Because of the rotation object in Kerr space-time, a particle travelling along the radial geodesic must have a dragging effect produced by the angular momentum of the central object. We give the correction of the phase due to the rotation of the space-time. We find that the type-I interference phase along the geodesic remains the double of that along the null on the condition that the rotating quantity parameter a^2 is preserved and the higher order terms are negligible (e.g. a^4). In addition, we calculate the proper oscillation length in Kerr space-time. All of our results can return to those in Schwarzschild space-time as the rotating parameter a approaches zero.
文摘Experimental and theoretical studies of the mechanisms of vibration stimulation of oil recovery in watered fields lead to the conclusion that resonance oscillations develop in fractured-block formations. These oscillations, caused by weak but long-lasting and frequency-stable influences, create the conditions for ultrasonic wave’s generation in the layers, which are capable of destroying thickened oil membranes in reservoir cracks. For fractured-porous reservoirs in the process of exploitation by the method of water high-pressure oil displacement, the possibility of intensifying ultrasonic vibrations can have an important technological significance. Even a very weak ultrasound can destroy, over a long period of time, the viscous oil membranes formed in the cracks between the blocks, which can be the reason for lowering the permeability of the layers and increasing the oil recovery. To describe these effects, it is necessary to consider the wave process in a hierarchically blocky environment and theoretically simulate the mechanism of the appearance of self-oscillations under the action of relaxation shear stresses. For the analysis of seism acoustic response in time on fixed intervals along the borehole an algorithm of phase diagrams of the state of many-phase medium is suggested.
基金Supported by National Natural Science Foundation of China( 10875035,10965006)Natural Science Foundation of Zhejiang Provence (Y607437)
文摘First a description of 2+1 dimensional non-commutative(NC) phase space is presented,and then we find that in this formulation the generalized Bopp's shift has a symmetric representation and one can easily and straightforwardly define the star product on NC phase space. Then we define non-commutative Lorentz transformations both on NC space and NC phase space. We also discuss the Poincare symmetry. Finally we point out that our NC phase space formulation and the NC Lorentz transformations are applicable to any even dimensional NC space and NC phase space.