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

2005/06/22 by M. Ruzzi, Marcelo A. Marchiolli, M. A. Marchiolli +2
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Art #Formalism (music) #Glauber #Mathematical physics #Mathematics #Matrix Theory and Algorithms #Physics #Polynomial and algebraic computation #Quantum mechanics #Theoretical physics #quant-ph

paper · pdf · doi:10.1088/0305-4470/38/27/010

published as J. Phys. A:Math Gen 38 (2005) 6239-6251 · 13 pages, 3 figures

openalex publication_date 2005/06/22 · arxiv created 2006/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

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