Canonical transformations to action and phase-angle variables and phase operators | Zendy

Alfredo Luis | Zendy; L. L. Sánchez-Soto | Zendy

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Canonical transformations to action and phase-angle variables and phase operators

Author(s) -

Alfredo Luis,

L. L. Sánchez-Soto

Publication year - 1993

Publication title -

physical review a

Language(s) - English

Resource type - Journals

eISSN - 1094-1622

pISSN - 1050-2947

DOI - 10.1103/physreva.48.752

Subject(s) - physics , unitarity , operator (biology) , hilbert space , canonical transformation , optical phase space , transformation (genetics) , phase space , action (physics) , phase (matter) , quantum , projection (relational algebra) , quantum mechanics , domain (mathematical analysis) , space (punctuation) , mathematical analysis , coherent states , mathematics , squeezed coherent state , algorithm , biochemistry , chemistry , repressor , transcription factor , gene , linguistics , philosophy

The well-known difficulties of defining a phase operator of an oscillator are considered from the point of view of the canonical transformation to action and phase-angle variables. This transformation turns out to be nonbijective, i.e., it is not a one-to-one onto mapping. In order to make possible the unitarity of its representations in quantum optics we should enlarge the Hilbert space of the problem. In this enlarged space we find a phase operator that, after projection, reproduces previous candidates to represent a well-behaved phase operator in the quantum domain

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