Bouncing in an oscillatory gravitational field

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 frequ...

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Bibliographic Details
Published in:European journal of physics 2021-07, Vol.42 (4), p.45409
Main Authors: Martin, J L, Strange, P
Format: Article
Language:English
Subjects:
bouncing
quantum
supersymmetry
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Summary: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.
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/abf8c5