Spectral equivalence of bosons and fermions in one-dimensional harmonic potentials

被引：13
|
作者：
Crescimanno, M. [1 ,1 ]
Landsberg, A.S. [1 ,1 ]
机构：
[1] Department of Physics, Youngstown State University, Youngstown, OH 44555-2001, United States
来源：
Physical Review A. Atomic, Molecular, and Optical Physics | 2001年 / 63卷 / 03期
关键词：
Electron energy levels - Fermions - Fourier transforms - Harmonic analysis - Mathematical models - Matrix algebra - Specific heat;
D O I：
10.1103/PhysRevA.63.035601
中图分类号：
学科分类号：
摘要：
The thermodynamic properties of N trapped non-interacting bosons and fermions are presented. The peculiar relationship between the heat capacities resulting between the bose and Fermi systems are shown. The excitation spectra of one-dimensional Fermi and Bose systems are shown to be identical. The proofs of equivalence are provided on the basis of combinatoric augment.
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页码：356011 / 356013
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