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

Mathematical Physics 2016-04-05 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1604.00991,
  title  = {Theta-Quantization of the Orbital Angular Momentum Operator by means of Noncommutative Geometry},
  author = {Takeo Miura},
  journal= {arXiv preprint arXiv:1604.00991},
  year   = {2016}
}