Quantum mechanics on a circle with a finite number of {\alpha}-uniformly distributed points

Won Sang Chung; Ilyas Haouam; Hassan Hassanabadi

doi:10.1016/j.physleta.2023.129098

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arXiv · 2304.03176

Quantum mechanics on a circle with a finite number of {\alpha}-uniformly distributed points

Won Sang Chung·Ilyas Haouam·Hassan Hassanabadi

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Abstract

In this paper, quantum mechanics on a circle with finite number of {\alpha}-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 {\alpha}-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 {\alpha}-distributed discrete angles.

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Won Sang Chung, Ilyas Haouam, Hassan Hassanabadi. 2023-04-02. Quantum mechanics on a circle with a finite number of {\alpha}-uniformly distributed points. https://doi.org/10.1016/j.physleta.2023.129098

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