On the Deformed Oscillator and the Deformed Derivative Associated with the Tsallis q-exponential

Author:

Jagannathan RamaswamyORCID,Khan Sameen AhmedORCID

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),General Mathematics

Reference89 articles.

1. Sternheimer, D.: Deformation theory and physics model building. In: Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Plebanskí, Eds. H. García-Compeán, B. Mielnik, M. Montesnos, and M. Przanowski, 469–487, (World Scientific). https://doi.org/10.1142/9789812772732_0039 (2006)

2. Curtright, T., Fairlie, D., Zachos, C. (eds.): Quantum Groups: Proceedings of the Argonne Workshop, (World Scientific). https://www.worldscientific.com/worldscibooks/10.1142/1206 (1991)

3. Tsallis, C.: Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479–487 (1988) https://doi.org/10.1007/BF01016429

4. Arik, M., Coon, D.D.: Hilbert spaces of analytic functions and generalized coherent states. J. Math. Phys. 17, 524–527 (1976) https://doi.org/10.1063/1.522937

5. Kuryshkin, V.V.: Generalized quantum operators of creation and annihilation. Ann. Fond. L. de Broglie 5, 111–125 (1980) https://inis.iaea.org/search/searchsinglerecord.aspx?recordsFor=SingleRecord&RN=12600560

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