Vectorlike coherent states with noncompact stability group

DOI10.1063/1.528517zbMath0694.22018OpenAlexW1972470815MaRDI QIDQ3469310

Loucas C. Papaloucas, Wacław Tybor, Jakub Rembieliński

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528517

zbMATH Keywords

Poincaré grouprigged Hilbert spacehyperbolic coherent statesvectorlike coherent states

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) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Miscellaneous applications of functional analysis (46N99)

Related Items

Vector-coherent-state theory as a theory of induced representations

Cites Work

• Die Eindeutigkeit der Schrödingerschen Operatoren
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Boson realization of sp(4). I. The matrix formulation
• Unitary representations, branching rules and matrix elements for the non-compact symplectic groups
• Quasi-coherent states for unitary groups
• Boson realization of sp(4, R). II. The generating kernel formulation
• Coherent states of the real symplectic group in a complex analytic parametrization. I. Unitary-operator coherent states
• Vector coherent state representation theory
• Baker-Campbell-Hausdorff formulas
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• On non-compact groups. II. Representations of the 2+1 Lorentz group
• Continuous-Representation Theory. III. On Functional Quantization of Classical Systems