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

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Luis Aina, Alfredo and Sánchez Soto, Luis Lorenzo (1993) Canonical transformations to action and phase-angle variables and phase operators. Physical review A, 48 (1). pp. 752-757. ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.48.752


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Abstract

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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© 1993 The American Physical Society.
The authors would like to thank Professor A. Galindo and Professor R. Tanas for a critical reading of the manuscript and useful comments. They are grateful as well to Professor J.F. Carinena for helpful and enlightening discussions of some rather technical points. Finally, they benefited from the continuous interest and advice of Professor E. Bernabeu.

Uncontrolled Keywords:Quantum-mechanics
Subjects:Sciences > Physics > Optics
ID Code:34701
Deposited On:09 Dec 2015 16:38
Last Modified:09 Dec 2015 16:38

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