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q-Deformed Quantum Mechanics Based on the q-Addition
- Chung, Won Sang;
- Hassanabadi, Hassan
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23초록
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.
키워드
momentum eigenfunction; q-deformed quantum mechanics; q-derivative; HARMONIC-OSCILLATOR; Q-ANALOGS; ALGEBRA
- 제목
- q-Deformed Quantum Mechanics Based on the q-Addition
- 저자
- Chung, Won Sang; Hassanabadi, Hassan
- 발행일
- 2019-04
- 유형
- Article
- 권
- 67
- 호
- 4