Thermodynamic properties of an ideal Fermi gas in an external potential with U=br(t) in any dimensional space

Li MZ.; Chen JC.; Chen LX.; Chen CH.; Yan ZJ.

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Thermodynamic properties of an ideal Fermi gas in an external potential with U=br(t) in any dimensional space

机译：U维br（t）在任何维空间中的外部势中理想费米气体的热力学性质

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The properties of an ideal Fermi gas in an external potential in any dimensional space are studied, based on the semiclassical (Thomas-Fermi) approximation. The general analytical expressions of the total particle number N, density of states D(epsilon), Fermi energy E-F, total energy E, and heat capacity C have been derived, where N, E, and C are expressed by the Fermi integration. Moreover, the analytical expressions of the total energy E, chemical potential mu, and heat capacity C in the high- and low-temperature approximations are given. From these results, how the characteristics of the Fermi gas depend on an external potential and the dimension of space is discussed. [S1050-2947(98)02508-6]. [References: 6]

机译：基于半经典（Thomas-Fermi）近似，研究了在任何维空间中外部电势中理想费米气体的性质。得出了总粒子数N，态密度D（ε），费米能量E-F，总能量E和热容C的一般分析表达式，其中N，E和C用费米积分表示。此外，给出了高温和低温近似下的总能量E，化学势μ和热容C的解析表达式。从这些结果，讨论了费米气体的特性如何取决于外部电势和空间尺寸。 [S1050-2947（98）02508-6]。 [参考：6]

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《Physical Review, A. Atomic, molecular, and optical physics》 |1998年第2期|共5页
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Li MZ.; Chen JC.; Chen LX.; Chen CH.; Yan ZJ.;
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1. Thermodynamic properties of an ideal Fermi gas in an external potential with U=br(t) in any dimensional space [J] . Li MZ., Chen JC., Chen LX., Physical Review, A. Atomic, molecular, and optical physics . 1998,第2期

机译：U维br（t）在任何维空间中的外部势中理想费米气体的热力学性质
2. A note on the Fermi energy of an ideal Fermi gas trapped under a generic power law potential in d-dimension [J] . Faruk Mir Mehedi European journal of physics: A journal of the European Physical Society . 2015,第5期

机译：关于在维数的一般幂律势下捕获的理想费米气体的费米能量的一个注记
3. Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential U = Sigma(d)(i=1) c(i)vertical bar x(i)/a(i)vertical bar(ni) in d Dimensions [J] . Faruk Mir Mehedi, Rahman Md. Muktadir, Debnath Dwaipayan, Communications in Theoretical Physics . 2016,第4期

机译：通用幂律势下截留的理想费米气体的能量涨落U = Sigma（d）（i = 1）c（i）竖线x（i）/ a（i）竖线（ni）d维
4. The application one-dimensional and quasi one-dimensional Thomas-Fermi equation for the modelling of an intra-atomic potential in the ultrathin gate dielectric [C] . Krasnikov G.Ya., Zaitsev N.A., Matyushkin I.V. Electron Devices and Solid-State Circuits, 2003 IEEE Conference on . 2003

机译：一维和准一维Thomas-Fermi方程在超薄栅介质中原子内电势建模中的应用
5. Physical properties of the normal phase, ultracold Fermi gas at unitarity: Thermodynamics, universality, and beyond [D] . Weiler, Erik M. 2014

机译：正相，超冷费米气体在同一性下的物理性质：热力学，普遍性及更高
6. Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential [O] . Jesper Levinsen, Pietro Massignan, Georg M. Bruun, 2015

机译：一维费米气体在谐波势中的强耦合ansatz
7. Thermodynamics of ideal Fermi gas under generic power law potential in $d$-dimension [O] . Faruk, Mir Mehedi, Bhuiyan, G. M. 2015

机译：通用幂律电位下理想费米气体的热力学 $ d $ - 尺寸
8. D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties [R] . Sousa Vieira, M. C. , Tsallis, C. 1986

机译：在分散统计学中的D维理想气体：热力学性质

Thermodynamic properties of an ideal Fermi gas in an external potential with U=br(t) in any dimensional space

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