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https://hdl.handle.net/11499/56990
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chung, W. S. | - |
dc.contributor.author | Algin, A. | - |
dc.date.accessioned | 2024-05-06T16:24:35Z | - |
dc.date.available | 2024-05-06T16:24:35Z | - |
dc.date.issued | 2024 | - |
dc.identifier.issn | 0031-8949 | - |
dc.identifier.issn | 1402-4896 | - |
dc.identifier.uri | https://doi.org/10.1088/1402-4896/ad385f | - |
dc.identifier.uri | https://hdl.handle.net/11499/56990 | - |
dc.description.abstract | In this paper, we consider a system of the q-deformed bosonic Tamm-Dancoff oscillators, whose spectrum has some exponential cutoff factors at high energies. We first investigate the q-calculus in the Tamm-Dancoff (TD) boson algebra, and within this framework, the q-derivative, q-integral and q-exponential function are introduced. Using these properties, we construct a new formalism for the q-deformed quantum mechanics, which accordingly involve the q-adjoint operator and the q-Hermitian operator properties. We then derive the q-deformed Heisenberg relation, and develop the q-Hermitian momentum operator. The q-deformed Schrodinger equation is introduced, and as applications, we study the momentum eigenfunction and one-dimensional box problem. Another application of the TD type deformation onto lattice oscillations is also discussed through a model of the q-deformed Debye solid. Finally, other potential applications of the TD-oscillators gas model are concisely pointed out. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Iop Publishing Ltd | en_US |
dc.relation.ispartof | Physica Scripta | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | the Bose systems | en_US |
dc.subject | the q-calculus | en_US |
dc.subject | the deformed quantum mechanics | en_US |
dc.subject | the deformed bose gas model | en_US |
dc.subject | the intermediate-statistics | en_US |
dc.subject | Bose-Gas-Model | en_US |
dc.subject | Statistical-Mechanics | en_US |
dc.subject | Q-Analogs | en_US |
dc.subject | Bosons | en_US |
dc.subject | Thermostatistics | en_US |
dc.subject | Compositeness | en_US |
dc.subject | Intercepts | en_US |
dc.subject | Particles | en_US |
dc.subject | Spectrum | en_US |
dc.title | q-Deformed quantum mechanics related to the Tamm-Dancoff oscillator algebra and some physical applications | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 99 | en_US |
dc.identifier.issue | 5 | en_US |
dc.department | Pamukkale University | en_US |
dc.identifier.doi | 10.1088/1402-4896/ad385f | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 7401983346 | - |
dc.authorscopusid | 6602566356 | - |
dc.identifier.scopus | 2-s2.0-85190249952 | en_US |
dc.identifier.wos | WOS:001199871800001 | en_US |
dc.institutionauthor | … | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.dept | 20.05. Mechanical Engineering | - |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection Teknoloji Fakültesi Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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