dc.contributor.author | Steuernagel, Ole | |
dc.contributor.author | Klimov, Andrei | |
dc.date.accessioned | 2021-03-31T10:00:02Z | |
dc.date.available | 2021-03-31T10:00:02Z | |
dc.date.issued | 2021-03-15 | |
dc.identifier.citation | Steuernagel , O & Klimov , A 2021 , ' Isospectral mapping for quantum systems with energy point spectra to polynomial quantum harmonic oscillators ' , Physics Letters A , vol. 392 , 127144 . https://doi.org/10.1016/j.physleta.2021.127144 | |
dc.identifier.issn | 0375-9601 | |
dc.identifier.other | PURE: 24873439 | |
dc.identifier.other | PURE UUID: 10e49df0-b856-4e4c-b6bb-b5ad252e0fda | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1901.03250v2 | |
dc.identifier.other | Scopus: 85099344779 | |
dc.identifier.uri | http://hdl.handle.net/2299/24205 | |
dc.description | © 2021 Elsevier B.V. All rights reserved. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.physleta.2021.127144 | |
dc.description.abstract | We show that a polynomial Hˆ(N) of degree N of a harmonic oscillator hamiltonian allows us to devise a fully solvable continuous quantum system for which the first N discrete energy eigenvalues can be chosen at will. In general such a choice leads to a re-ordering of the associated energy eigenfunctions of Hˆ such that the number of their nodes does not increase monotonically with increasing level number. Systems Hˆ have certain ‘universal’ features, we study their basic behaviours. | en |
dc.format.extent | 5 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physics Letters A | |
dc.subject | quant-ph | |
dc.subject | Physics and Astronomy(all) | |
dc.title | Isospectral mapping for quantum systems with energy point spectra to polynomial quantum harmonic oscillators | en |
dc.contributor.institution | School of Physics, Engineering & Computer Science | |
dc.contributor.institution | Centre for Atmospheric and Climate Physics Research | |
dc.contributor.institution | Department of Physics, Astronomy and Mathematics | |
dc.description.status | Peer reviewed | |
dc.date.embargoedUntil | 2022-01-09 | |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=85099344779&partnerID=8YFLogxK | |
rioxxterms.version | AM | |
rioxxterms.versionofrecord | https://doi.org/10.1016/j.physleta.2021.127144 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |