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

Дата и время публикации : 2000-03-02T04:09:56Z

Авторы публикации и институты :
M. Crescimanno (Berea College)
A. S. Landsberg (The Claremont Colleges)

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: Six Pages, No Figures, Submitted to Phys. Rev. A
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech

Краткий обзор статьи: Recently, Schmidt and Schnack (cond-mat/9803151, cond-mat/9810036), following earlier references, reiterate that the specific heat of N non-interacting bosons in a one-dimensional harmonic well equals that of N fermions in the same potential. We show that this peculiar relationship between specific heats results from a more dramatic equivalence between bose and fermi systems. Namely, we prove that the excitation spectrums of such bose and fermi systems are spectrally equivalent. Two complementary proofs are provided, one based on an analysis of the dynamical symmetry group of the N-body system, the other using combinatoric analysis.

Category: Physics