von Neumann Lattices in Finite Dimensions Hilbert Spaces - Quantum PhysicsReport as inadecuate




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Abstract: The prime number decomposition of a finite dimensional Hilbert space reflectsitself in the representations that the space accommodates. The representationsappear in conjugate pairs for factorization to two relative prime factors whichcan be viewed as two distinct degrees freedom. These, Schwinger-s quantumdegrees of freedom, are uniquely related to a von Neumann lattices in the phasespace that characterizes the Hilbert space and specifies the simultaneousdefinitions of both modular positions and modular momenta. The area inphase space for each quantum state in each of these quantum degrees of freedom,is shown to be exactly $h$, Planck-s constant.



Author: M. Revzen, F. C. Khanna

Source: https://arxiv.org/







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