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

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

2000-03-02

arxiv.org/abs/cond-mat/0003020v1

Physics

Condensed Matter

Statistical Mechanics

Six Pages, No Figures, Submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.63.035601

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.

Affiliated with

Also associated with

No associations

Rating

Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-175595