On a noncontractible family of representations of the canonical commutation relations

DOI10.1016/J.GEOMPHYS.2021.104343zbMath1483.22005OpenAlexW3188117579MaRDI QIDQ1984398

Hyunmoon Kim

Publication date: 16 September 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104343

zbMATH Keywords

unitary representationssymplectic matricesHeisenberg Lie algebra

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Unitary representations of locally compact groups (22D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Weil representation, Maslov index and theta series
• Tata lectures on theta. III
• Symplectic geometry and quantum mechanics
• On a Hilbert space of analytic functions and an associated integral transform part I
• On the role of the Heisenberg group in harmonic analysis
• Coherent states and projective representation of the linear canonical transformations
• Harmonic Analysis in Phase Space. (AM-122)

This page was built for publication: On a noncontractible family of representations of the canonical commutation relations