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Based on the single particle energy spectrum of weak relativity and Poissons formula,the thermodynamic potential function of Fermi gas in a strong magnetic field is derived. Furthermore, by using the thermodynamic relationships, the analytical expressions of statistic characteristic quantities of the system at low temperatures are obtained, and the influence mechanism of relativistic effect on the statistic properties of the system is analysed. It is shown that the relativistic effect becomes more significant with the magnetic field increasing. Compared with the corresponding oscillating amplitude, the monotonic term, which is caused by the relativistic effect, is much larger than the amplitude for the total energy, however, for the chemical potential and magnetic moment, they are almost of the same order.
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Keywords:
- strong magnetic field /
- Fermi gas /
- relativistic effect
[1] Regal C A, Ticknor C, Bohn J L,Jin D S 2003 Nature 424 47
[2] [3] Xiong H W, Liu S J, Zhang W P,Zhan M S 2005 Phys. Rev. Lett. 95 120401
[4] [5] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[6] Qin F,Chen J S 2009 Phys. Rev. A 79 043625
[7] [8] Xiong H W, Liu S J,Zhan M S 2006 Phys. Rev. A 74 033602
[9] [10] Chen J S, Cheng C M, Li J R,Wang Y P 2007 Phys.Rev. A 76 033617
[11] [12] [13] Guan L M, Chen S 2010 Phys. Rev. Lett. 105 175301
[14] Chen S, Guan L M, Yin X G, Hao Y J, Guan X W 2010 Phys. Rev. A 81 031609(R)
[15] [16] [17] Landau L D, Lifshitz E M 1999 Statistical Physics Part I. 3rd ed (Oxford: Pergamon Press) p174177
[18] [19] Men F D,Fan Z L, 2010 Chin. Phys. B 19 030502
[20] [21] Men F D,Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[22] [23] Men F D,Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 3719
[24] [25] Fan Z L, Men F D,Dou R B 2010 Acta Phys. Sin. 59 3715 (in Chinese) [范召兰、门福殿、窦瑞波 2010 物理学报 59 3715]
[26] Zhang Y D 2009 Advanced Quantum Mechanics (Beijing: SciencePress) P270 (in Chinese)[张永德 2009 高等量子力学(北京:科学出版社)第270页]
[27] -
[1] Regal C A, Ticknor C, Bohn J L,Jin D S 2003 Nature 424 47
[2] [3] Xiong H W, Liu S J, Zhang W P,Zhan M S 2005 Phys. Rev. Lett. 95 120401
[4] [5] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[6] Qin F,Chen J S 2009 Phys. Rev. A 79 043625
[7] [8] Xiong H W, Liu S J,Zhan M S 2006 Phys. Rev. A 74 033602
[9] [10] Chen J S, Cheng C M, Li J R,Wang Y P 2007 Phys.Rev. A 76 033617
[11] [12] [13] Guan L M, Chen S 2010 Phys. Rev. Lett. 105 175301
[14] Chen S, Guan L M, Yin X G, Hao Y J, Guan X W 2010 Phys. Rev. A 81 031609(R)
[15] [16] [17] Landau L D, Lifshitz E M 1999 Statistical Physics Part I. 3rd ed (Oxford: Pergamon Press) p174177
[18] [19] Men F D,Fan Z L, 2010 Chin. Phys. B 19 030502
[20] [21] Men F D,Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[22] [23] Men F D,Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 3719
[24] [25] Fan Z L, Men F D,Dou R B 2010 Acta Phys. Sin. 59 3715 (in Chinese) [范召兰、门福殿、窦瑞波 2010 物理学报 59 3715]
[26] Zhang Y D 2009 Advanced Quantum Mechanics (Beijing: SciencePress) P270 (in Chinese)[张永德 2009 高等量子力学(北京:科学出版社)第270页]
[27]
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