Supersymmetric Quantum Mechanics: Light at the End of the (Quantum) Tunnel

• URL: http://arxiv.org/abs/2203.14693v1
• Date: Fri, 25 Mar 2022 10:47:01 GMT
• Title: Supersymmetric Quantum Mechanics: Light at the End of the (Quantum) Tunnel
• Authors: Senan Sekhon
• Abstract summary: We will discuss the use of the superpotential to derive the supersymmetric partner of a potential in one dimension. We will then discuss the modeling of supersymmetric quantum systems using matrices and operators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: In this project, we will develop the foundations of quantum mechanics using the methods of supersymmetry. We will discuss the use of the superpotential to derive the supersymmetric partner of a potential in one dimension, and explore several key examples with an emphasis on shape invariant potentials. We will then discuss the modeling of supersymmetric quantum systems using matrices and operators, and how it relates to the eigenstate thermalization hypothesis.

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