Nonclassical states of light and canonical transformations
- 1 May 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (9) , 2083-2092
- https://doi.org/10.1088/0305-4470/24/9/018
Abstract
Representations of nonlinear nonbijective canonical transformations in quantum mechanics are discussed. Due to the nonbijectivity the classical phase space has a Riemann sheet structure, and a family of partial isometries translating this structure into quantum mechanics is constructed. If a unitary representation is required, a new variable-the ambiguity spin-has to be introduced in order to recover bijectivity following the approach of Moshinsky (1981) and co-workers. The new degree of freedom is analysed in terms of multiboson operators. The application of this formalism to some non-classical states of light is discussed.Keywords
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