作者主要研究了质量为 m、自旋为1/2的狄拉克粒子被束缚在长为 L 的盒子内时，考虑到广义测不准关系和相对论效应的情况下，通过求解狄拉克方程得到其本征值和配分函数。研究发现：其本征值与盒子的长度有关；粒子的自由能受其修正项的...作者主要研究了质量为 m、自旋为1/2的狄拉克粒子被束缚在长为 L 的盒子内时，考虑到广义测不准关系和相对论效应的情况下，通过求解狄拉克方程得到其本征值和配分函数。研究发现：其本征值与盒子的长度有关；粒子的自由能受其修正项的影响。同时，得到了狄拉克谐振子基于广义测不准关系的本征值方程，求得其相应的配分函数、自由能和内能熵，结果发现这些热力学量都受广义不确定度常量的影响。展开更多
The aim of this paper is to investigate Hawking radiation of Dirac particles from the Dilaton space-time with squashed horizons by improving the method of Kerner and Man’s tunneling analysis.We construct appropriate ...The aim of this paper is to investigate Hawking radiation of Dirac particles from the Dilaton space-time with squashed horizons by improving the method of Kerner and Man’s tunneling analysis.We construct appropriate matrices for general covariant Dirac equation,and derive the tunneling probability and Hawking temperature.The results show that both Dirac particles and scalar particles radiate at the same Hawking temperature.展开更多
Following the method of Damour and Ruffini, the Hawking radiation of Dirac particles on Rindler horison to a uniformly accelerating observer is studied this paper. The temperature on Rindler horizon surface and the th...Following the method of Damour and Ruffini, the Hawking radiation of Dirac particles on Rindler horison to a uniformly accelerating observer is studied this paper. The temperature on Rindler horizon surface and the thermal spectrum formula of Dirac particles are obtained. The result is discussed.展开更多
Dirac particle penetration is studied theoretically with Dirac equation in one-dimensional systems.Weinvestigate a one-dimensional system with N barriers where both barrier height and well width are constants randomly...Dirac particle penetration is studied theoretically with Dirac equation in one-dimensional systems.Weinvestigate a one-dimensional system with N barriers where both barrier height and well width are constants randomlydistributed in certain range.The one-parameter scaling theory for nonrelativistic particles is still valid for massive Diracparticles.In the same disorder sample, we find that the localization length of relativistic particles is always larger thanthat of nonrelativistic particles and the transmission coefficient related to incident particle in both cases fits the formT～exp(-αL).More interesting, massless relativistic particles are entirely delocalized no matter how big the energy ofincident particles is.展开更多
In this paper,we investigate effects of the minimal length on the Schwinger mechanism using the quantum Geld theory(QFT) incorporating the minimal length.We Grst study the Schwinger mechanism for scalar Gelds in both ...In this paper,we investigate effects of the minimal length on the Schwinger mechanism using the quantum Geld theory(QFT) incorporating the minimal length.We Grst study the Schwinger mechanism for scalar Gelds in both usual QFT and the deformed QFT.The same calculations are then performed in the case of Dirac particles.Finally,we discuss how our results imply for the corrections to the Unruh temperature and the Hawking temperature due to the minimal length.展开更多
The smoothness of the solutions to the full Landau equation for Fermi-Dirac particles is investigated.It is shown that the classical solutions near equilibrium to the Landau-Fermi-Dirac equation have a regularizing ef...The smoothness of the solutions to the full Landau equation for Fermi-Dirac particles is investigated.It is shown that the classical solutions near equilibrium to the Landau-Fermi-Dirac equation have a regularizing effects in all variables (time,space and velocity),that is,they become immediately smooth with respect to all variables.展开更多
文摘作者主要研究了质量为 m、自旋为1/2的狄拉克粒子被束缚在长为 L 的盒子内时，考虑到广义测不准关系和相对论效应的情况下，通过求解狄拉克方程得到其本征值和配分函数。研究发现：其本征值与盒子的长度有关；粒子的自由能受其修正项的影响。同时，得到了狄拉克谐振子基于广义测不准关系的本征值方程，求得其相应的配分函数、自由能和内能熵，结果发现这些热力学量都受广义不确定度常量的影响。
基金Supported by the National Natural Science Foundation of China under Grant No.60972164
文摘The aim of this paper is to investigate Hawking radiation of Dirac particles from the Dilaton space-time with squashed horizons by improving the method of Kerner and Man’s tunneling analysis.We construct appropriate matrices for general covariant Dirac equation,and derive the tunneling probability and Hawking temperature.The results show that both Dirac particles and scalar particles radiate at the same Hawking temperature.
文摘Following the method of Damour and Ruffini, the Hawking radiation of Dirac particles on Rindler horison to a uniformly accelerating observer is studied this paper. The temperature on Rindler horizon surface and the thermal spectrum formula of Dirac particles are obtained. The result is discussed.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10174024 and 10474025
文摘Dirac particle penetration is studied theoretically with Dirac equation in one-dimensional systems.Weinvestigate a one-dimensional system with N barriers where both barrier height and well width are constants randomlydistributed in certain range.The one-parameter scaling theory for nonrelativistic particles is still valid for massive Diracparticles.In the same disorder sample, we find that the localization length of relativistic particles is always larger thanthat of nonrelativistic particles and the transmission coefficient related to incident particle in both cases fits the formT～exp(-αL).More interesting, massless relativistic particles are entirely delocalized no matter how big the energy ofincident particles is.
基金Supported by National Natural Science Foundation of China under Grant Nos.11005016,11175039,and 11375121the Fundamental Research Funds for the Central Universities
文摘In this paper,we investigate effects of the minimal length on the Schwinger mechanism using the quantum Geld theory(QFT) incorporating the minimal length.We Grst study the Schwinger mechanism for scalar Gelds in both usual QFT and the deformed QFT.The same calculations are then performed in the case of Dirac particles.Finally,we discuss how our results imply for the corrections to the Unruh temperature and the Hawking temperature due to the minimal length.
基金Project supported by the National Natural Science Foundation of China(No.11101188)
文摘The smoothness of the solutions to the full Landau equation for Fermi-Dirac particles is investigated.It is shown that the classical solutions near equilibrium to the Landau-Fermi-Dirac equation have a regularizing effects in all variables (time,space and velocity),that is,they become immediately smooth with respect to all variables.
