Working Paper Review Version 1 This version is not peer-reviewed

Equivalence of Tensor Product and Partner Hamiltonian Formalism in Supersymmetric Quantum Mechanics

Version 1 : Received: 29 July 2020 / Approved: 31 July 2020 / Online: 31 July 2020 (05:50:57 CEST)

How to cite: Das, R.N.; Maji, A. Equivalence of Tensor Product and Partner Hamiltonian Formalism in Supersymmetric Quantum Mechanics. Preprints 2020, 2020070733 Das, R.N.; Maji, A. Equivalence of Tensor Product and Partner Hamiltonian Formalism in Supersymmetric Quantum Mechanics. Preprints 2020, 2020070733

Abstract

In this article we first write a brief review of supersymmetric quantum mechanics and then we discuss the equivalence of two co-existing formalisms viz. tensor product formalism and partner hamiltonian formalism for 1-D SUSY Harmonic oscillator. Finally, we present a Mathematica code with which one can calculate the eigenstates of any 1-D SUSY partner Hamiltonian along with two illustrated examples of 1-D SUSY HO and 1-D SUSY infinite potential box.

Subject Areas

supersymmetry; elementary particles; equivalence of formalisms; quantum mechanics

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