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Recent Developments in Supersymmetric Quantum Mechanics

Georg Junker
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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.

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Georg Junker. 1994-04-05. Recent Developments in Supersymmetric Quantum Mechanics. https://arxiv.org/abs/cond-mat/9403088

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