ON TOPOLOGICAL EFFECTS IN QUANTUM-MECHANICS - THE HARMONIC-OSCILLATOR IN THE POINTED PLANE

Publikationstyp:
Zeitschriftenaufsatz
Metadaten:
Autoren
  • HD DOEBNER
  • HJ ELMERS
  • WF HEIDENREICH
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:A1989U330200016&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.1063/1.528375
eISSN
1089-7658
Externe Identifier
  • Clarivate Analytics Document Solution ID: U3302
ISSN
0022-2488
Ausgabe der Veröffentlichung
5
Zeitschrift
JOURNAL OF MATHEMATICAL PHYSICS
Paginierung
1053 - 1059
Datum der Veröffentlichung
1989
Status
Published
Titel
ON TOPOLOGICAL EFFECTS IN QUANTUM-MECHANICS - THE HARMONIC-OSCILLATOR IN THE POINTED PLANE
Sub types
  • Article
Ausgabe der Zeitschrift
30

Datenquelle: Web of Science (Lite)

Andere Metadatenquellen:
Abstract
<jats:p>Quantum mechanics of a (nonrelativistic) system S localized on a topologically nontrivial manifold ℳ as its configuration space is based on a quantization method, which, in general, reflects global properties of ℳ, i.e., some of the observables of S will ‘‘feel’’ the topology: There are topological effects and inequivalent quantizations on ℳ. Some straightforward examples are given for such effects, using Borel quantization (BQ), the pointed plane as manifold ℳ, and the energy operator with harmonic potential as observable. Two topological effects exist. There are unitarily inequivalent BQ on ℳ, which are equivalent to the usual quantization on the plane with a topological potential, which has the form of a Bohm–Aharonov potential. There are different self-adjoint extensions of the energy operator for a given BQ that in some cases are related to another kind of topological potential. These effects are discussed in detail, especially the self-adjoint extensions of the energy operator. An experimental setup to verify some of the results is suggested.</jats:p>
Autoren
  • HD Doebner
  • HJ Elmers
  • WF Heidenreich
DOI
10.1063/1.528375
eISSN
1089-7658
ISSN
0022-2488
Ausgabe der Veröffentlichung
5
Zeitschrift
Journal of Mathematical Physics
Sprache
en
Paginierung
1053 - 1059
Datum der Veröffentlichung
1989
Status
Published
Herausgeber
AIP Publishing
Herausgeber URL
http://dx.doi.org/10.1063/1.528375
Datum der Datenerfassung
2024
Titel
On topological effects in quantum mechanics: The harmonic oscillator in the pointed plane
Ausgabe der Zeitschrift
30

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