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Journal Article (Refereed)
February 2001

Projection operators for time-symmetrized states in Fock space

Potton, R 2001, 'Projection operators for time-symmetrized states in Fock space ', JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 2001.

Abstract

Projection operators associated with antiunitary time-reversal symmetry differ from the usual orthogonal projections encountered in Hilbert space. Operators that act in Pock space and project parts of a single-mode state of the electromagnetic field that can be identified as its quadratures are defined and their properties are verified by consideration of their action on single-mode coherent states. The fact that their construction involves, in an essential way, not one but two parameters is discussed and a weakened form of orthogonal projection that is specialized to a particular Fock state superposition is identified. The question of whether or not such orthogonal projections are universal is raised. In passing, it is noted that the possibility of classifying states as well as operators according to their time-reversal symmetry properties is relevant to the analysis of nonlinear wave interactions between waves with rationally related frequencies.

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Publication Details

Journal Name
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 2001

Volume
Vol 34, Iss 3

Pagination
617-622.