The Cahill–Glauber approach for quantum mechanics on phase space is extended to the finite-dimensional case through the use of discrete coherent states. All properties and features of the continuous formalism are appropriately generalized. The continuum results are promptly recovered as a limiting case. The Jacobi theta functions are shown to have a prominent role in the context.

arXiv:quant-ph/0503054Journal of Physics A Mathematical and GeneralJun 22, 200553 citations

Gaussian type functions defined on a finite set and finite oscillators

Nicolae Cotfas

arXiv:1512.02589Dec 8, 20150 citations

arXiv:1205.6302 · Journal of Physics A Mathematical and Theoretical

Properties of finite Gaussians and the discrete-continuous transition

Nicolae Cotfas, Daniela Dragoman

Published Oct 9, 2012• 12 citations

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Abstract

DOI: 10.1088/1751-8113/45/42/425305

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Properties of finite Gaussians and the discrete-continuous transition

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d

of the system increases.