The principle of producing nanometer powders with the electrohydrodynamic technique and the apparatus were described. The effects of the geometry and size of the cathode and anode. and the applied voltage on the emitt...The principle of producing nanometer powders with the electrohydrodynamic technique and the apparatus were described. The effects of the geometry and size of the cathode and anode. and the applied voltage on the emitted current and the mean size of the nanometer powders were Studied.Experimental results show that with the decreasing in the diameter of the cylindrical cathode and in the calibre of the spiral cathode, the mean size of the nanometer powders decreases. The effect of the calibre of the spiral cathode is more remarkable. In addition, the mean size of the nanometer powders decreases with decrease in the internal and external diameter of the anode and the increase in the applied voltage.展开更多
In our previous papers,the classical fractional Fourier transform theory was incorporated into the quantum theoretical system using the theoretical method of quantum optics,and the calculation produced quantum mechani...In our previous papers,the classical fractional Fourier transform theory was incorporated into the quantum theoretical system using the theoretical method of quantum optics,and the calculation produced quantum mechanical operators corresponding to the generation of fractional Fourier transform.The core function of the coordinate-momentum exchange operators in the addition law of fractional Fourier transform was analyzed too.In this paper,the bivariate operator Hermite polynomial theory and the technique of integration within an ordered product of operators(IWOP)are used to establish the entanglement fractional Fourier transform theory to the extent of quantum.A new function generating formula and an operator for generating quantum entangled fractional Fourier transform are obtained using the fractional Fourier transform relationship in a pair of conjugated entangled state representations.展开更多
By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property,we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator...By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property,we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator,the squeezing operator,and the fractional Fourier transformation operator,which in turn sheds light on the matrix optics design of ABCD-systems.The new decomposition for the two-mode Fresnel operator is also obtained by the use of entangled state representation.展开更多
Based on the Weyl expansion representation of Wigner operator and its invariant property under similar transformation,we derived the relationship between input state and output state after a unitary transformation inc...Based on the Weyl expansion representation of Wigner operator and its invariant property under similar transformation,we derived the relationship between input state and output state after a unitary transformation including Wigner function and density operator.It is shown that they can be related by a transformation matrix corresponding to the unitary evolution.In addition,for any density operator going through a dissipative channel,the evolution formula of the Wigner function is also derived.As applications,we considered further the two-mode squeezed vacuum as inputs,and obtained the resulted Wigner function and density operator within normal ordering form.Our method is clear and concise,and can be easily extended to deal with other problems involved in quantum metrology,steering,and quantum information with continuous variable.展开更多
Based on the theory of integration within s-ordering of operators and the bipartite entangled state representation we introduce s-parameterized Weyl-Wigner correspondence in the entangled form.Some of its applications...Based on the theory of integration within s-ordering of operators and the bipartite entangled state representation we introduce s-parameterized Weyl-Wigner correspondence in the entangled form.Some of its applications in quantum optics theory are presented as well.展开更多
Seismic and rock physics play important roles in gas hydrate exploration and production.To provide a clear cognition of the applications of geophysical methods on gas hydrate,this work presents a review of the seismic...Seismic and rock physics play important roles in gas hydrate exploration and production.To provide a clear cognition of the applications of geophysical methods on gas hydrate,this work presents a review of the seismic techniques,rock physics models,and production methods in gas hydrate exploration and exploitation.We first summarize the commonly used seismic techniques in identifying the gas hydrate formations and analyze the limitations and challenges of these techniques.Then,we outline the rock physics models linking the micro-scale physical properties and macro-scale seismic velocities of gas hydrate sediments,and generalize the common workflow,showing the frequently-used procedures of building models with detailed analysis of the potential uncertainties.Afterwards,we summarize the production techniques of gas hydrate and point out the problems regarding the petrophysical basis and abnormal seismic responses.In the end,considering the geological and engineering problems,we come up with several aspects of using geophysical techniques to solve the problems in gas hydrate exploration and production,hopefully to provide some important clues for future studies of gas hydrate.展开更多
Use of nonlinear mathematical models has been majorly based on in vitro gas production(GP) data generated when substrates are incubated with rumen liquor from fistulated steers. However,existing evidence suggests that...Use of nonlinear mathematical models has been majorly based on in vitro gas production(GP) data generated when substrates are incubated with rumen liquor from fistulated steers. However,existing evidence suggests that rumen liquor from slaughtered cattle of unknown dietary history also generates quantifiable in vitro GP data. Fitting and description of GP data obtained from 4 diets incubated with rumen liquor from slaughtered cattle was evaluated using single-pool exponential model with discrete lag time(EXPL), logistic(LOG), Groot's(GRTS) and Gompertz(GOMP) models. Diets were formulated by varying proportions of Rhodes grass(Chloris gayana) hay and a concentrate mixed on dry matter basis to be: 1,000 g/kg Rhodes grass hay(RGH) and 0 of the concentrate(D1), 900 g/kg RGH and 100 g/kg concentrate(D2), 800 g/kg RGH and 200 g/kg concentrate(D3), 700 g/kg RGH and 300 g/kg concentrate(D4). Dietary kinetics for the models were determined by measuring GP at 2,4.8,10.18,24.36,48.72,96 and 120 h. Model comparison was based on derived GP kinetics, graphical analysis of observed versus predicted GP profiles plus residual distribution and goodness-of-fit from analysis of root mean square error(RMSE), adjusted coefficient of determination(Adj-R^2) and Akaike's information criterion(AIC). Asymptotic GP, half-life and fractional rate of GP differed(P < 0.001) among the 4 models. The RMSE, Adj-R^2 and AIC ranged from 1.555 to 4.429,0.906 to0.984 and 2.452 to 15.874, respectively, forall diets compared across the 4 models. Based on the goodness-of-fit statistical criterion, GP profiles of D1 were more appropriately fitted and described by GRTS and GOMP than the EXPLand LOG models. The GRTS model had the lowest AIC value for D2(2.452). Although GRTS model had the most homogenous residual dispersion for the 4 diets, all the 4 models exhibited a sigmoidal behavior.Therefore, rumen liquor from slaughtered cattle of unknown dietary history can be used to derive nutritionally important feed parameters, but choice of the most appropriate model should be made based on fitting criteria and dietary substrates incubated.展开更多
A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state repres...A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state representation,but it can also be used to simulate the dissipative environment of quantum systems.In this paper,by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator,we present the coherent state representation of the operator and the corresponding normal ordering form.Based on this,we consider the applications of the coherent state representation of the beam splitter operator,such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables.Furthermore,we extend our investigation to two single and two-mode cascaded beam splitter operators,giving the corresponding coherent state representation and its normal ordering form.In addition,the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated,and the fidelity is discussed.The above results provide good theoretical value in the fields of quantum optics and quantum information.展开更多
文摘The principle of producing nanometer powders with the electrohydrodynamic technique and the apparatus were described. The effects of the geometry and size of the cathode and anode. and the applied voltage on the emitted current and the mean size of the nanometer powders were Studied.Experimental results show that with the decreasing in the diameter of the cylindrical cathode and in the calibre of the spiral cathode, the mean size of the nanometer powders decreases. The effect of the calibre of the spiral cathode is more remarkable. In addition, the mean size of the nanometer powders decreases with decrease in the internal and external diameter of the anode and the increase in the applied voltage.
基金Project supported by the National Natural Science Foundation of China(Grant No.11775208)the Foundation for Young Talents at the College of Anhui Province,China(Grant Nos.gxyq2021210 and gxyq2019077)the Natural Science Foundation of the Anhui Higher Education Institutions of China(Grant Nos.KJ2020A0638 and 2022AH051586)。
文摘In our previous papers,the classical fractional Fourier transform theory was incorporated into the quantum theoretical system using the theoretical method of quantum optics,and the calculation produced quantum mechanical operators corresponding to the generation of fractional Fourier transform.The core function of the coordinate-momentum exchange operators in the addition law of fractional Fourier transform was analyzed too.In this paper,the bivariate operator Hermite polynomial theory and the technique of integration within an ordered product of operators(IWOP)are used to establish the entanglement fractional Fourier transform theory to the extent of quantum.A new function generating formula and an operator for generating quantum entangled fractional Fourier transform are obtained using the fractional Fourier transform relationship in a pair of conjugated entangled state representations.
基金supported by the University Natural Science Foundation of Anhui Province,China (Grant No. KJ2011Z339)the National Natural Science Foundation of China (Grant No. 10874174)
文摘By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property,we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator,the squeezing operator,and the fractional Fourier transformation operator,which in turn sheds light on the matrix optics design of ABCD-systems.The new decomposition for the two-mode Fresnel operator is also obtained by the use of entangled state representation.
基金Project supported by the National Natural Science Foundation of China(Grant No.11664017)the Outstanding Young Talent Program of Jiangxi Province,China(Grant No.20171BCB23034)+1 种基金the Degree and Postgraduate Education Teaching Reform Project of Jiangxi Province,China(Grant No.JXYJG-2013-027)the Science Fund of the Education Department of Jiangxi Province,China(Grant No.GJJ170184)
文摘Based on the Weyl expansion representation of Wigner operator and its invariant property under similar transformation,we derived the relationship between input state and output state after a unitary transformation including Wigner function and density operator.It is shown that they can be related by a transformation matrix corresponding to the unitary evolution.In addition,for any density operator going through a dissipative channel,the evolution formula of the Wigner function is also derived.As applications,we considered further the two-mode squeezed vacuum as inputs,and obtained the resulted Wigner function and density operator within normal ordering form.Our method is clear and concise,and can be easily extended to deal with other problems involved in quantum metrology,steering,and quantum information with continuous variable.
基金Project supported by the National Natural Science Foundation of China (Grant Nos.10775097 and 10874174)the President Foundation of the Chinese Academy of Sciences
文摘Based on the theory of integration within s-ordering of operators and the bipartite entangled state representation we introduce s-parameterized Weyl-Wigner correspondence in the entangled form.Some of its applications in quantum optics theory are presented as well.
基金supported by the National Natural Science Foundation of China(No.U1839208).
文摘Seismic and rock physics play important roles in gas hydrate exploration and production.To provide a clear cognition of the applications of geophysical methods on gas hydrate,this work presents a review of the seismic techniques,rock physics models,and production methods in gas hydrate exploration and exploitation.We first summarize the commonly used seismic techniques in identifying the gas hydrate formations and analyze the limitations and challenges of these techniques.Then,we outline the rock physics models linking the micro-scale physical properties and macro-scale seismic velocities of gas hydrate sediments,and generalize the common workflow,showing the frequently-used procedures of building models with detailed analysis of the potential uncertainties.Afterwards,we summarize the production techniques of gas hydrate and point out the problems regarding the petrophysical basis and abnormal seismic responses.In the end,considering the geological and engineering problems,we come up with several aspects of using geophysical techniques to solve the problems in gas hydrate exploration and production,hopefully to provide some important clues for future studies of gas hydrate.
基金the Livestock and Fisheries Programme(LFP 04) of the Association for Strengthening Agricultural Research in Eastern and Central Africa(ASARECA-RC12_LFP-04 under the auspices of the World Bank for providing financial support to undertake this research
文摘Use of nonlinear mathematical models has been majorly based on in vitro gas production(GP) data generated when substrates are incubated with rumen liquor from fistulated steers. However,existing evidence suggests that rumen liquor from slaughtered cattle of unknown dietary history also generates quantifiable in vitro GP data. Fitting and description of GP data obtained from 4 diets incubated with rumen liquor from slaughtered cattle was evaluated using single-pool exponential model with discrete lag time(EXPL), logistic(LOG), Groot's(GRTS) and Gompertz(GOMP) models. Diets were formulated by varying proportions of Rhodes grass(Chloris gayana) hay and a concentrate mixed on dry matter basis to be: 1,000 g/kg Rhodes grass hay(RGH) and 0 of the concentrate(D1), 900 g/kg RGH and 100 g/kg concentrate(D2), 800 g/kg RGH and 200 g/kg concentrate(D3), 700 g/kg RGH and 300 g/kg concentrate(D4). Dietary kinetics for the models were determined by measuring GP at 2,4.8,10.18,24.36,48.72,96 and 120 h. Model comparison was based on derived GP kinetics, graphical analysis of observed versus predicted GP profiles plus residual distribution and goodness-of-fit from analysis of root mean square error(RMSE), adjusted coefficient of determination(Adj-R^2) and Akaike's information criterion(AIC). Asymptotic GP, half-life and fractional rate of GP differed(P < 0.001) among the 4 models. The RMSE, Adj-R^2 and AIC ranged from 1.555 to 4.429,0.906 to0.984 and 2.452 to 15.874, respectively, forall diets compared across the 4 models. Based on the goodness-of-fit statistical criterion, GP profiles of D1 were more appropriately fitted and described by GRTS and GOMP than the EXPLand LOG models. The GRTS model had the lowest AIC value for D2(2.452). Although GRTS model had the most homogenous residual dispersion for the 4 diets, all the 4 models exhibited a sigmoidal behavior.Therefore, rumen liquor from slaughtered cattle of unknown dietary history can be used to derive nutritionally important feed parameters, but choice of the most appropriate model should be made based on fitting criteria and dietary substrates incubated.
基金supported by the National Natural Science Foundation of China(Grant Nos.11964013,11664017)the Training Program for Academic and Technical Leaders of Major Disciplines in Jiangxi Province(20204BCJL22053)。
文摘A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state representation,but it can also be used to simulate the dissipative environment of quantum systems.In this paper,by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator,we present the coherent state representation of the operator and the corresponding normal ordering form.Based on this,we consider the applications of the coherent state representation of the beam splitter operator,such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables.Furthermore,we extend our investigation to two single and two-mode cascaded beam splitter operators,giving the corresponding coherent state representation and its normal ordering form.In addition,the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated,and the fidelity is discussed.The above results provide good theoretical value in the fields of quantum optics and quantum information.
