Coherent states and induced representations

DOI10.1007/BF00398574zbMath0395.22009MaRDI QIDQ1252946

H. Scutaru

Publication date: 1977

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Reproducing Kernel Hilbert SpaceCoherent StatesInduced Representation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Analysis on other specific Lie groups (43A80) Induced representations for locally compact groups (22D30)

Related Items (14)

Square-integrability modulo a subgroup ⋮ Mathematical problems of stochastic quantum mechanics: Harmonic analysis on phase space and quantum geometry ⋮ Extension of covariant POV-measures in von Neumann algebras ⋮ Group-related coherent states ⋮ Systems of covariance and subrepresentations of induced representations ⋮ Causal localizations of the massive scalar Boson ⋮ On Euclidean systems of covariance for massless particles ⋮ On the observables describing a quantum reference frame ⋮ A general theorem on square-integrability: Vector coherent states ⋮ Scaling and s-channel helicity conservation via optimal state description of hadron-hadron scattering ⋮ Unnamed Item ⋮ Causal localizations in relativistic quantum mechanics ⋮ Position operators as integrals with respect to Euclidean systems of covariance ⋮ Lower Bound for Mutual Information of a Quantum Channel

Cites Work

• On the repeated measurement of continuous observables in quantum mechanics
• Coherent states for arbitrary Lie group
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS

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