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Theta-Quantization of the Orbital Angular Momentum Operator by means of Noncommutative Geometry
Takeo Miura
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 t…
Physical Coordinate as Eigen Values of Translation Operators in Non-commutative Spaces
Takeo Miura
We show two independent theoretical methods which lead to generate eigen values of a composite two-particles system associated with the non-locality of EPR effect which was experim…
Generation of Nonlocal Spaces from Moyal Brackets and Penrose Lattices by way of example
Takeo Miura
In this paper we consider a connection between the Moyal formuration of quantum mechanics and noncommutative lattices on nonlocal spaces. The Moyal bracket generates SU(N) Lie alge…
Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices
Takeo Miura
Based on the technique of noncommutative geometry, it is shown that, by means of the concept of the theta quantization, there is an equivalence between the notion of the modular mo…