Complex extension of the representation of the symplectic group associated with the canonical commutation relations

DOI10.1016/0034-4877(80)90063-4zbMath0485.22017OpenAlexW2058212931MaRDI QIDQ1164166

Michael Brunet, Peter Kramer

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90063-4

zbMATH Keywords

canonical commutation relationsreal symplectic groupBargmann's reproducing kernel space

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

The metaplectic semigroup and related topics ⋮ Holomorphic representation theory. II ⋮ Holomorphic representation theory. I ⋮ A note on Howe's oscillator semigroup ⋮ Quantization of Gaussians ⋮ Random Walk on Quantum Blobs

Cites Work

• Semigroups of length increasing transformations
• On a Hilbert space of analytic functions and an associated integral transform part I
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