Paradoxical reflection in quantum mechanics

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dc.contributor.author Garrido, Pedro L.
dc.contributor.author Goldstein, Sheldon
dc.contributor.author Lukkarinen, Jani
dc.contributor.author Tumulka, Roderich
dc.date.accessioned 2011-12-09T01:37:15Z
dc.date.available 2011-12-09T01:37:15Z
dc.date.issued 2011-05-02
dc.identifier.citation Garrido , P L , Goldstein , S , Lukkarinen , J & Tumulka , R 2011 , ' Paradoxical reflection in quantum mechanics ' , American Journal of Physics , vol. 79 , no. 12 , pp. 1218-1231 . https://doi.org/10.1119/1.3636408
dc.identifier.other PURE: 19743648
dc.identifier.other PURE UUID: 5648c2ba-2bb3-443f-b5c4-edf1d5da6169
dc.identifier.other ArXiv: http://arxiv.org/abs/0808.0610v2
dc.identifier.other WOS: 000297937300004
dc.identifier.other Scopus: 82855169662
dc.identifier.other ORCID: /0000-0002-8757-1134/work/28974537
dc.identifier.uri http://hdl.handle.net/10138/28502
dc.description.abstract This article concerns a phenomenon of elementary quantum mechanics that is quite counter-intuitive, very non-classical, and apparently not widely known: a quantum particle can get reflected at a downward potential step. In contrast, classical particles get reflected only at upward steps. The conditions for this effect are that the wave length is much greater than the width of the potential step and the kinetic energy of the particle is much smaller than the depth of the potential step. This phenomenon is suggested by non-normalizable solutions to the time-independent Schroedinger equation, and we present evidence, numerical and mathematical, that it is also indeed predicted by the time-dependent Schroedinger equation. Furthermore, this paradoxical reflection effect suggests, and we confirm mathematically, that a quantum particle can be trapped for a long time (though not forever) in a region surrounded by downward potential steps, that is, on a plateau. en
dc.language.iso eng
dc.relation.ispartof American Journal of Physics
dc.rights.uri info:eu-repo/semantics/restrictedAccess
dc.subject 114 Physical sciences
dc.subject 111 Mathematics
dc.title Paradoxical reflection in quantum mechanics en
dc.type Article
dc.contributor.organization Department of Mathematics and Statistics
dc.contributor.organization Mathematical physics
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.1119/1.3636408
dc.relation.issn 0002-9505
dc.rights.accesslevel restrictedAccess

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