The growth of Bargmann functions and the completeness of sequences of coherent states

DOI10.1088/0305-4470/30/13/034zbMath0926.46058OpenAlexW1993580688MaRDI QIDQ4248424

A. Vourdas

Publication date: 22 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/13/034

zbMATH Keywords

coherent statesquantum opticsvon Neumann latticescompleteness of sequencesdensity of the zerosgrowth of Bargmann functions

Mathematics Subject Classification ID

Quantum optics (81V80) Coherent states (81R30) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

The Bargmann analytic representation in signal analysis ⋮ Coherent spaces, Boolean rings and quantum gates ⋮ Optimal bases of Gaussians in a Hilbert space: Applications in mathematical signal analysis ⋮ Coherent Spaces

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