Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential U=Σ_(i=1)~d c_i|x_i/a_i|^(n_i) in d Dimensions
Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential U=Σ_(i=1)~d c_i|x_i/a_i|^(n_i) in d Dimensions
摘要
Energy fluctuation of ideal Fermi gas trapped under generic power law potential U=Σ_(i=1)~d c_i|x_i/a_i|^(n_i) has been calculated in arbitrary dimensions.Energy fluctuation is scrutinized further in the degenerate limit μ>>K_B T with the help of Sommerfeld expansion.The dependence of energy fluctuation on dimensionality and power law potential is studied in detail.Most importantly our general result can not only exactly reproduce the recently published result regarding free and harmonically trapped ideal Fermi gas in d =3 but also can describe the outcome for any power law potential in arbitrary dimension.
参考文献21
-
1S. Biswas, J. Mitra, and S. Bhattacharyya, J. Stat. Mech. 2 (2015) P03013.
-
2S.N. Bose, Z. Physik 26 (1924) 178.
-
3A. Einstein, Berl. Ber. 22 (1924) 261.
-
4R.K. Pathria, Statistical Mechanics, Elsevier, Amsterdam (2004).
-
5R.M. Ziff, G.E. Uhlenbeck, and M. Kac, Phys. Repot. 32 (1977) 169.
-
6H. E. Haber and H.A. Weldon, Phys. Rev. Lett. 46 (1981) 1487.
-
7R.H. May, Phys. Rev. A 1515 (1964) 135.
-
8C.C. Bradley, C.A. Sackett, a.J. Tollett, and R.G. Hulet, Phys. Rev. Lett. 75 (1995) 1687.
-
9M.H. Anderson, J.R. Esher, M.R. Mathews, C.E. Wie- man, and E.A. Cornell, Science 269 (1995) 195.
-
10K.B. Davis, M.O. Mewes, M.R. Andrew, et al., Phys. Rev. Lett. 1687 (1995) 75.
-
1LIU Hui,MEN Fudian,LI Yong,GUAN Banggui,ZHANG Maolian.Thermostatistic Properties of the Relativistic q-Deformed Ideal Fermi Gas at High Temperature[J].Wuhan University Journal of Natural Sciences,2010,15(1):57-63.
-
2苏国珍,欧聪杰,Wang A Qiu-Ping,陈金灿.Finite-size effects in a D-dimensional ideal Fermi gas[J].Chinese Physics B,2009,18(12):5189-5195. 被引量：3
-
3FEIShao-Ming,GAOXiu-Hong,WANGXiao-Hong,WANGZhi-Xi,WuKe.Separability of Rank—Two Quantum States in C^M ×CN Composite Quantum Systems[J].Communications in Theoretical Physics,2003,39(5):525-528.
-
4刘亚成,万维明,吕淑娟.NONLINEAR PSEUDOPARABOLIC EQUATIONS IN ARBITRARY DIMENSIONS[J].Acta Mathematicae Applicatae Sinica,1997,13(3):265-278. 被引量：11
-
5DAI Xiaoying,YANG Zhang,ZHOU Aihui.Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions[J].Science China Mathematics,2008,51(8):1401-1414. 被引量：3
-
6Ya-dongShang,Bo-lingGuo.Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations[J].Acta Mathematicae Applicatae Sinica,2004,20(2):247-256. 被引量：1
-
7Xu Yanbing, Yuan Shuanggui, Yang Weifan, Xiao Yonghou, Pan Qiangyan and Li Yingjun.Measurement of Cross Sections for Ba Isotopes[J].IMP & HIRFL Annual Report,2001(1):34-34. 被引量：1
-
8孟晓,王学丽.Collapsibility of odds ratios for a continuous outcome variable[J].Journal of Chongqing University,2013,12(2):81-84.
-
9覃昉,陈继胜.Pauli Paramagnetic Susceptibility of an Ideal Anyon Gas within Haldane Fractional Exclusion Statistics[J].Communications in Theoretical Physics,2012,58(10):573-576. 被引量：1
-
10Sami Ortakaya.Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions[J].Chinese Physics B,2013,22(7):64-69.
