2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147476Some 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.LaTeX, 13 pages, 5 figures (appended as ps-file), revised version with minor correctionsCondensed MatterChemical PhysicsHigh Energy Physics - Theorytext