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Quantum Surfing

Rasinskaite, D., Strange, P. (2020) Quantum Surfing. European Journal of Physics, 42 (18). Article Number 015402. ISSN 0143-0807. E-ISSN 1361-6404. (doi:10.1088/1361-6404/abbab0) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:85664)

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Language: English

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https://dx.doi.org/10.1088/1361-6404/abbab0

Abstract

Here we report a project in which time-dependent supersymmetry has been employed to derive a new potential and eigen- functions that satisfy the Schr ̈odinger equation. The supersymmetry method is outlined and we apply it to a wavefunction obeying the free-particle Schr ̈odinger equation. This leads to an exactly soluble model in which a quantum particle is seen to “surf” on a time-dependent potential. The model can be solved and understood within both classical and quantum mechanics and the relationship between the two approaches is discussed. The mathematics of this formalism is accessible to a final year British undergraduate making supersymmetry derived Hamiltonians suitable as a final year theoretical physics research project.

Item Type: Article
DOI/Identification number: 10.1088/1361-6404/abbab0
Additional information: Work done under the auspices of the Physics of Quantum Materials research group
Uncontrolled keywords: quantum surfing supersymmetry
Subjects: Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Divisions > Division of Natural Sciences > School of Physical Sciences
Depositing User: Paul Strange
Date Deposited: 25 Jan 2021 15:37 UTC
Last Modified: 16 Feb 2021 14:17 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/85664 (The current URI for this page, for reference purposes)
Strange, P.: https://orcid.org/0000-0001-5818-8032
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