Recent Developments in Supersymmetric Quantum Mechanics
Condensed Matter
2008-02-03 v2 chem-ph
High Energy Physics - Theory
Abstract
Some recent results in supersymmetric quantum mechanics are presented. New semi-classical approximation formulas for Witten's realization of supersymmetric quantum mechanics are discussed. Implications of the supersymmetric structure of Pauli's Hamiltonian are also considered. In particular, the paramagnetisation of a non-interacting electron gas is related to a modified version of Witten's index. We also show that the supersymmetry in this system provides a new counter example for the paramagnetic conjecture.
Cite
@article{arxiv.cond-mat/9403088,
title = {Recent Developments in Supersymmetric Quantum Mechanics},
author = {Georg Junker},
journal= {arXiv preprint arXiv:cond-mat/9403088},
year = {2008}
}
Comments
LaTeX, 13 pages, 5 figures (appended as ps-file), revised version with minor corrections