Quantum mechanics on a circle with a finite number of α-uniformly distributed points

Won Sang Chung,Ilyas Haouam,Hassan Hassanabadi

doi:10.1016/j.physleta.2023.129098

Quantum mechanics on a circle with a finite number of α-uniformly distributed points

Won Sang Chung, Ilyas Haouam + Show 1 more

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https://doi.org/10.1016/j.physleta.2023.129098

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Journal: Physics Letters A	Publication Date: Sep 5, 2023
Citations: 1

Affiliation: Gyeongsang National University, Constantine 1 University, University of Hradec Králové, University of Technology

#Hermitian Hamiltonian #Discrete Angles + Show 8 more

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Abstract

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.

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