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q-Deformed Quantum Mechanics Based on the q-Addition
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- Apr-2019
- Publisher
- John Wiley & Sons Ltd.
- Keywords
- momentum eigenfunction; q-deformed quantum mechanics; q-derivative
- Citation
- Fortschritte der Physik, v.67, no.4
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- Fortschritte der Physik
- Volume
- 67
- Number
- 4
- ISSN
- 0015-8208
1521-3978
- Abstract
- In this paper we consider the q-derivative appearing in the non-extensive thermodynamics to formulate the q-deformed quantum mechanics. From the q-addition we discuss the q-deformed calculus and q-deformed elementary functions. We use these to construct the q-deformed quantum mechanics. As examples we discuss momentum eigenfunction, one dimensional box problem and quantum harmonic potential problem.
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