Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F21%3APU142063" target="_blank" >RIV/00216305:26620/21:PU142063 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/21:00121525
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1367-2630/abe445" target="_blank" >https://iopscience.iop.org/article/10.1088/1367-2630/abe445</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1367-2630/abe445" target="_blank" >10.1088/1367-2630/abe445</a>
Alternative languages
Result language
angličtina
Original language name
Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect
Original language description
We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Mobius strip and projective plane. We find analytically the stationary states and the energy spectrum and show that the wavefunction exhibits perfect revivals. Using the orbifold structure of the discussed manifolds, we establish the relation of wave evolution on the manifolds to Fresnel diffraction and consequently to the Talbot effect. This connection provides a novel method of optical simulation of the quantum motion on compact manifolds. We discuss some novel phenomena as well as the effects of topology on the properties of the waves on the manifolds.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
NEW JOURNAL OF PHYSICS
ISSN
1367-2630
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
11
Pages from-to
1-11
UT code for WoS article
000626867900001
EID of the result in the Scopus database
2-s2.0-85102980549