Displaying similar documents to “On symplectic mappings of contraction operators”

Weyl algebra and a realization of the unitary symmetry

Strasburger, Aleksander

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In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the d -dimensional quantum...

On the Transformations of Symplectic Expansions and the Respective Bäcklund Transformation for the KDV Equation

Khristov, E. (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary: 34B40; secondary: 35Q51, 35Q53 By using the Deift–Trubowitz transformations for adding or removing bound states to the spectrum of the Schrödinger operator on the line we construct a simple algorithm allowing one to reduce the problem of deriving symplectic expansions to its simplest case when the spectrum is purely continuous, and vice versa. We also obtain the transformation formulas for the correponding recursion operator....