Extended Cahill-Glauber formalism for finite-dimensional spaces: I. Fundamentals

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2005-07-08

Autores

Ruzzi, M.
Marchiolli, M. A.
Galetti, D.

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Iop Publishing Ltd

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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.

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Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 38, n. 27, p. 6239-6251, 2005.