Coherent States for Tremblay-Turbiner-Winternitz Potential

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Sucu, Y.
dc.contributor.author	Unal, N.
dc.date.accessioned	2019-02-18T17:51:23Z
dc.date.available	2019-02-18T17:51:23Z
dc.date.issued	2012
dc.identifier.citation	Coherent States for Tremblay-Turbiner-Winternitz Potential / Y. Sucu, N. Unal // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 25 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81R30; 81Q05; 81Q80; 81S99
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.093
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148679
dc.description.abstract	In this study, we construct the coherent states for a particle in the Tremblay-Turbiner-Winternitz potential by finding the conserved charge coherent states of the four harmonic oscillators in the polar coordinates. We also derive the energy eigenstates of the potential and show that the center of the coherent states follow the classical orbits of the particle.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. This work was supported by Akdeniz University, Scientific Research Projects Unit.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Coherent States for Tremblay-Turbiner-Winternitz Potential	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA