Coherent States for Tremblay-Turbiner-Winternitz Potential
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 t...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148679 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862658281373171712 |
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| author | Sucu, Y. Unal, N. |
| author_facet | Sucu, Y. Unal, N. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-02T07:34:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148679 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T07:34:37Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sucu, Y. Unal, N. 2019-02-18T17:51:23Z 2019-02-18T17:51:23Z 2012 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. 1815-0659 2010 Mathematics Subject Classification: 81R30; 81Q05; 81Q80; 81S99 DOI: http://dx.doi.org/10.3842/SIGMA.2012.093 https://nasplib.isofts.kiev.ua/handle/123456789/148679 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Coherent States for Tremblay-Turbiner-Winternitz Potential Article published earlier |
| spellingShingle | Coherent States for Tremblay-Turbiner-Winternitz Potential Sucu, Y. Unal, N. |
| title | Coherent States for Tremblay-Turbiner-Winternitz Potential |
| title_full | Coherent States for Tremblay-Turbiner-Winternitz Potential |
| title_fullStr | Coherent States for Tremblay-Turbiner-Winternitz Potential |
| title_full_unstemmed | Coherent States for Tremblay-Turbiner-Winternitz Potential |
| title_short | Coherent States for Tremblay-Turbiner-Winternitz Potential |
| title_sort | coherent states for tremblay-turbiner-winternitz potential |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148679 |
| work_keys_str_mv | AT sucuy coherentstatesfortremblayturbinerwinternitzpotential AT unaln coherentstatesfortremblayturbinerwinternitzpotential |