The metaplectic semigroup Mp+(d,C) is constructed and analyzed via symplectic and operator methods, yielding generators, polar decompositions, and applications to boundedness of propagators for complex quadratic Hamiltonians on modulation spaces.
de Gosson.Symplectic geometry and quantum mechanics, volume 166 ofOperator Theory: Advances and Applications
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The metaplectic semigroup and its applications to time-frequency analysis and evolution operators
The metaplectic semigroup Mp+(d,C) is constructed and analyzed via symplectic and operator methods, yielding generators, polar decompositions, and applications to boundedness of propagators for complex quadratic Hamiltonians on modulation spaces.