Quantum mechanics on a circle with a finite number of {\alpha}-uniformly distributed points
Quantum Physics
2023-09-08 v1
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.
Keywords
Cite
@article{arxiv.2304.03176,
title = {Quantum mechanics on a circle with a finite number of {\alpha}-uniformly distributed points},
author = {Won Sang Chung and Ilyas Haouam and Hassan Hassanabadi},
journal= {arXiv preprint arXiv:2304.03176},
year = {2023}
}
Comments
9 pages