Quantum dynamics and super-symmetric quantum mechanics
Eric R. Bittner, Donald J. Kouri
TL;DR
This paper reviews recent advances in supersymmetric quantum mechanics (SUSY-QM), focusing on its mathematical foundations, applications to molecular systems, and efforts to extend it to multiple dimensions.
Contribution
It introduces new theoretical and numerical methods based on SUSY-QM for molecular systems and explores extending SUSY-QM to higher dimensions.
Findings
Developed novel SUSY-QM based approaches for molecular systems
Extended SUSY-QM framework to multiple dimensions
Provided mathematical insights into SUSY-QM structures
Abstract
In my talk I will present an overview of our recent work involving the use of supersymmetric quantum mechanics (SUSY-QM). I begin by discussing the mathematical underpinnings of SUSY-QM and then discuss how we have used this for developing novel theoretical and numerical approaches suitable for studying molecular systems. I will conclude by discussing our attempt to extend SUSY-QM to multiple dimensions.
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Taxonomy
TopicsMolecular Spectroscopy and Structure · Quantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems