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Quantum mechanics on a circle with a finite number of α-uniformly distributed points
- Chung, Won Sang;
- Haouam, Ilyas;
- Hassanabadi, Hassan
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In this paper, quantum mechanics on a circle with finite number of α-uniformly distributed points is discussed. The angle operator and translation operator are defined. Using discrete angle representation, two types of discrete angular momentum operators and Hermitian Hamiltonian on a circle with d α-distributed discrete angles are constructed. The energy levels are computed for a free particle on a circle where the wave function is defined in the d α-distributed discrete angles. © 2023 Elsevier B.V.
키워드
Discrete angle; Discrete angular momentum; Quantum mechanics on a circle; α-distributed discrete angle
- 제목
- Quantum mechanics on a circle with a finite number of α-uniformly distributed points
- 저자
- Chung, Won Sang; Haouam, Ilyas; Hassanabadi, Hassan
- 발행일
- 2023-10
- 유형
- Article
- 권
- 485