Recent Developments in Supersymmetric Quantum Mechanics

Details Recent Developments in Supersymmetric Quantum Mechanics Recent Developments in Supersymmetric Quantum Mechanics

1994-03-29

arxiv.org/abs/cond-mat/9403088v2

Turkish J. of Physics 19 (1995) 230-248

Physics

Condensed Matter

LaTeX, 13 pages, 5 figures (appended as ps-file), revised version with minor corrections

Scientific paper

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.

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