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arXiv · 1210.4022

Phase states and coherent states for generalized Weyl-Heisenberg algebras

Maurice Robert Kibler·Mohammed Daoud
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Abstract

This paper is concerned with the construction of phase operators, phase states, vector phase states, and coherent states for a generalized Weyl-Heisenberg algebra. This polynomial algebra (that depends on real parameters) is briefly described. The various states are defined on a finite- or infinite-dimensional space depending on the parameters. This report constitutes an introduction to three papers published by the authors in J. Phys. A [43 (2010) 115303 and 45 (2012) 244036] and J. Math. Phys. [52 (2011) 082101]. See these three papers for the relevant references.

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Maurice Robert Kibler, Mohammed Daoud. 2012-10-15. Phase states and coherent states for generalized Weyl-Heisenberg algebras. https://arxiv.org/abs/1210.4022

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