Supersymmetry and a time-dependent Landau system

V. Alan Kostelecký, V. I. Man’ko, Michael Martin Nieto, and D. Rodney Truax
Phys. Rev. A 48, 951 – Published 1 August 1993
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Abstract

A general technique is outlined for investigating supersymmetry properties of a charged spin-1/2 quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to provide a physical realization of a supersymmetric quantum-mechanical system. Group-theoretic methods are used to factorize the relevant Schrödinger equations and obtain eigensolutions. The supercoherent states for this system are constructed.

  • Received 26 February 1993

DOI:https://doi.org/10.1103/PhysRevA.48.951

©1993 American Physical Society

Authors & Affiliations

V. Alan Kostelecký

  • Physics Department, Indiana University, Bloomington, Indiana 47405

V. I. Man’ko

  • P. N. Lebedev Physical Institute, Russian Academy of Science, Moscow 117924, Russian Federation

Michael Martin Nieto

  • Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545

D. Rodney Truax

  • Department of Chemistry, University of Calgary, Calgary, Alberta, Canada T2N 1N4

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Vol. 48, Iss. 2 — August 1993

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