Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials

Authors

Michael Crescimanno, Youngstown State UniversityFollow
Adam S. Landsberg, Claremont McKenna College; Pitzer College; Scripps CollegeFollow

Document Type

Article

Department

WM Keck Science

Publication Date

2-5-2001

Abstract

Recently, Schmidt and Schnack [Physica A 260, 479 (1998)], following earlier references, reiterate that the specific heat of N noninteracting bosons in a one-dimensional harmonic well equals that of N noninteracting fermions in the same potential. We show that this peculiar relationship between heat capacities results from a more dramatic equivalence between Bose and Fermi systems. Namely, we prove that the excitations of such Bose and Fermi systems are spectrally equivalent. Two complementary proofs of this equivalence are provided; one based on a combinatoric argument, the other from analysis of the underlying dynamical symmetry group.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,461.

Publisher pdf, posted with permission.

This article can also be found at http://link.aps.org/doi/10.1103/PhysRevA.63.035601

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Crescimanno, M., and A.S. Landsberg. "Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials." Physical Review A 63.3 (2001): 35601-35603. DOI: 10.1103/PhysRevA.63.035601