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.

引用

页码：356011 / 356013