Spectrum of the Q-Schrodinger Equation by Means of the Variational Method Based on the Discrete Q-Hermite I Polynomials
| dc.contributor.author | Turan, Mehmet | |
| dc.contributor.author | Adiguzel, Rezan Sevinik | |
| dc.contributor.author | Calisir, Ayse Dogan | |
| dc.date.accessioned | 2024-04-25T07:32:14Z | |
| dc.date.accessioned | 2025-09-18T12:05:12Z | |
| dc.date.available | 2024-04-25T07:32:14Z | |
| dc.date.available | 2025-09-18T12:05:12Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this work, the q-Schrodinger equations with symmetric polynomial potentials are considered. The spectrum of the model is obtained for several values of q, and the limiting case as q -> 1 is considered. The Rayleigh-Ritz variational method is adopted to the system. The discrete q-Hermite I polynomials are handled as basis in this method. Furthermore, the following potentials with numerous results are presented as applications: q-harmonic, purely q-quartic and q-quartic oscillators. It is also shown that the obtained results confirm the ones that exist in the literature for the continuous case. | en_US |
| dc.identifier.citation | Çalışır, Ayşe D.; Turan, Mehmet; Adıgüzel, Rezan S. (2021). "Spectrum of the q-Schrödinger equation by means of the variational method based on the discrete q-Hermite I polynomials", International Journal of Modern Physics A, Vol.36, No.3. | en_US |
| dc.identifier.doi | 10.1142/S0217751X21500202 | |
| dc.identifier.issn | 0217-751X | |
| dc.identifier.issn | 1793-656X | |
| dc.identifier.scopus | 2-s2.0-85100597979 | |
| dc.identifier.uri | https://doi.org/10.1142/S0217751X21500202 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10550 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Modern Physics A | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Discrete Schrodinger Equation | en_US |
| dc.subject | Q-Harmonic Oscillator | en_US |
| dc.subject | Rayleigh-Ritz Variational Method | en_US |
| dc.subject | Discrete Q-Hermite I Polynomials | en_US |
| dc.title | Spectrum of the Q-Schrodinger Equation by Means of the Variational Method Based on the Discrete Q-Hermite I Polynomials | en_US |
| dc.title | Spectrum of the q-Schrödinger equation by means of the variational method based on the discrete q-Hermite I polynomials | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Sevinikadiguzel, Rezan/Kma-1274-2024 | |
| gdc.author.wosid | Doğan Çalışır, Ayşe/Iwm-1563-2023 | |
| gdc.author.wosid | Turan, Mehmet/Jyq-4459-2024 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Turan, Mehmet; Adiguzel, Rezan Sevinik] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey; [Calisir, Ayse Dogan] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Calisir, Ayse Dogan] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2150020 | |
| gdc.description.volume | 36 | en_US |
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