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Title: | q-Deformed quantum mechanics related to the Tamm-Dancoff oscillator algebra and some physical applications | Authors: | Chung, W. S. Algin, A. |
Keywords: | the Bose systems the q-calculus the deformed quantum mechanics the deformed bose gas model the intermediate-statistics Bose-Gas-Model Statistical-Mechanics Q-Analogs Bosons Thermostatistics Compositeness Intercepts Particles Spectrum |
Publisher: | Iop Publishing Ltd | 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. | URI: | https://doi.org/10.1088/1402-4896/ad385f https://hdl.handle.net/11499/56990 |
ISSN: | 0031-8949 1402-4896 |
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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