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Some simple solutions of Schrodinger's equation for a free particle or for an oscillator

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dc.contributor.authorAndrews, Mark
dc.date.accessioned2019-04-21T04:06:44Z
dc.date.issued2018
dc.date.updated2019-03-12T07:32:33Z
dc.description.abstractFor a non-relativistic free particle, we show that the evolution of some simple initial wave functions made up of linear segments can be expressed in terms of Fresnel integrals. Examples include the square wave function and the triangular wave function. The method is then extended to wave functions made from quadratic elements. The evolution of all these initial wave functions can also be found for the harmonic oscillator by a transformation of the free evolutions.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0143-0807en_AU
dc.identifier.urihttp://hdl.handle.net/1885/160527
dc.language.isoen_AUen_AU
dc.provenanceJournal: European Journal of Physics (ISSN: 0143-0807, ESSN: 1361-6404) RoMEO: This is a RoMEO green journal Paid OA: A paid open access option is available for this journal. Author's Pre-print: green tick author can archive pre-print (ie pre-refereeing) Author's Post-print: green tick author can archive post-print (ie final draft post-refereeing) Publisher's Version/PDF: green tick author can archive publisher's version/PDF General Conditions: Author's pre-print and author's post-print on author's personal website or arXiv immediately Author's post-print on institutional repository, subject-based repository, PubMed Central or third party eprint servers after 12 months embargo Publisher's version/PDF may be used on author's personal website only Published source must be acknowledged Must link to publisher version with DOIen_AU
dc.publisherInstitute of Physics Publishingen_AU
dc.sourceEuropean Journal of Physicsen_AU
dc.titleSome simple solutions of Schrodinger's equation for a free particle or for an oscillatoren_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue3en_AU
local.contributor.affiliationAndrews, Mark, College of Science, ANUen_AU
local.contributor.authoruidAndrews, Mark, u3493929en_AU
local.description.embargo2040-01-01
local.description.notesImported from ARIESen_AU
local.identifier.absfor010503 - Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theoryen_AU
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciencesen_AU
local.identifier.ariespublicationu4485658xPUB2067en_AU
local.identifier.citationvolume39en_AU
local.identifier.doi10.1088/1361-6404/aaaac8en_AU
local.identifier.scopusID2-s2.0-85045649692
local.identifier.thomsonID000428691100001
local.type.statusPublished Versionen_AU

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