Optical simulation of quantum mechanics on the Möbius strip,
Klein's bottle and other manifolds, and Talbot effect

J 2021

Optical simulation of quantum mechanics on the Möbius strip, Klein's bottle and other manifolds, and Talbot effect

BĚLÍN, Jakub, Tomáš TYC a S. A. R. HORSLEY

Základní údaje

Originální název

Optical simulation of quantum mechanics on the Möbius strip, Klein's bottle and other manifolds, and Talbot effect

Autoři

BĚLÍN, Jakub, Tomáš TYC (203 Česká republika, domácí) a S. A. R. HORSLEY

Vydání

New Journal of Physics, Bristol, IOP publishing, 2021, 1367-2630

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10306 Optics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 3.716

Kód RIV

RIV/00216224:14310/21:00121525

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1088/1367-2630/abe445

UT WoS

000626867900001

Klíčová slova anglicky

curved spaces; quantum revivals; Talbot effect; topology; orbifolds

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 4. 5. 2021 14:01, Mgr. Marie Šípková, DiS.

Anotace

V originále

We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Möbius 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.

Citovat

BĚLÍN, Jakub, Tomáš TYC a S. A. R. HORSLEY. Optical simulation of quantum mechanics on the Möbius strip, Klein's bottle and other manifolds, and Talbot effect. New Journal of Physics. Bristol: IOP publishing, 2021, roč. 23, č. 3, s. "033003", 11 s. ISSN 1367-2630. Dostupné z: https://dx.doi.org/10.1088/1367-2630/abe445.

@article{1765596,
   author = {Bělín, Jakub and Tyc, Tomáš and Horsley, S. A. R.},
   article_location = {Bristol},
   article_number = {3},
   doi = {http://dx.doi.org/10.1088/1367-2630/abe445},
   keywords = {curved spaces; quantum revivals; Talbot effect; topology; orbifolds},
   language = {eng},
   issn = {1367-2630},
   journal = {New Journal of Physics},
   title = {Optical simulation of quantum mechanics on the Möbius strip, Klein's bottle and other manifolds, and Talbot effect},
   url = {https://iopscience.iop.org/article/10.1088/1367-2630/abe445},
   volume = {23},
   year = {2021}
}

TY  - JOUR
ID  - 1765596
AU  - Bělín, Jakub - Tyc, Tomáš - Horsley, S. A. R.
PY  - 2021
TI  - Optical simulation of quantum mechanics on the Möbius strip, Klein's bottle and other manifolds, and Talbot effect
JF  - New Journal of Physics
VL  - 23
IS  - 3
SP  - "033003"
EP  - "033003"
PB  - IOP publishing
SN  - 13672630
KW  - curved spaces
KW  - quantum revivals
KW  - Talbot effect
KW  - topology
KW  - orbifolds
UR  - https://iopscience.iop.org/article/10.1088/1367-2630/abe445
N2  - We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Möbius 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.
ER  -

BĚLÍN, Jakub, Tomáš TYC a S. A. R. HORSLEY. Optical simulation of quantum mechanics on the Möbius strip, Klein's bottle and other manifolds, and Talbot effect. \textit{New Journal of Physics}. Bristol: IOP publishing, 2021, roč.~23, č.~3, s.~''033003'', 11 s. ISSN~1367-2630. Dostupné z: https://dx.doi.org/10.1088/1367-2630/abe445.

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