Theta-Quantization of the Orbital Angular Momentum Operator by means of Noncommutative Geometry

2016/03/20 by Takeo Miura, Miura, Takeo
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Orbital Angular Momentum in Optics #Quantum Mechanics and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1604.00991

arxiv created 2016/03/20 · openalex publication_date 2016/03/20 · arxiv updated 2016/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eigenfunctions and eigenvalues of orbital angular momentum operator on noncommutative lattice for a circle poset by theta-quantization are constructed, and it is demonstrated that they are equivalent to those of the conventional quantum mechanics.

Related

• Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices
• Alternative Approach to Noncommutative Quantum Mechanics on a Curved Space
• Noncommutative analysis in a curved phase-space and coherent states quantization
• Noncommutative geometry and quantization
• Critical comments on quantization of the angular momentum: I. Analysis based on the physical requirement on eigenfunctions and on the commutation relations