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Bouncing in an oscillatory gravitational field

Martin, J.L., Strange, P. (2021) Bouncing in an oscillatory gravitational field. European Journal of Physics, 42 . Article Number 045409. ISSN 0143-0807. E-ISSN 1361-6404. (doi:10.1088/1361-6404/abf8c5) (KAR id:88582)

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Official URL
https://doi.org/10.1088/1361-6404/abf8c5

Abstract

We apply the time-dependent supersymmetry methods of Bagrov, Samsonov and Shekoyan to the Schrödinger equation for a quantum bouncer. A new family of potentials, that correspond to the linear gravitational potential with a small oscillatory component superimposed upon it, is produced. Both the frequency and amplitude of the oscillatory part can be controlled and the corresponding eigenfunctions are found. These solutions are explored and basic observables are calculated. In particular we examine how motion in such a potential can be distinguished from motion in a linear gravitational field. We also point out some pedagogical aspects of this project.

Item Type: Article
DOI/Identification number: 10.1088/1361-6404/abf8c5
Uncontrolled keywords: Quantum mechanics, supersymmetry, quantum bouncer.
Subjects: Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Paul Strange
Date Deposited: 07 Jun 2021 09:24 UTC
Last Modified: 23 Nov 2021 23:10 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/88582 (The current URI for this page, for reference purposes)
Strange, P.: https://orcid.org/0000-0001-5818-8032
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