Quantization, symmetry, and natural polarization

DOI10.1063/1.526200zbMath0545.58029OpenAlexW2016506147MaRDI QIDQ3334673

Kurt Bernardo Wolf, Victor Aldaya, José A. de Azcárraga

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526200

zbMATH Keywords

geometric quantizationdynamical groupnatural polarizations

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) Geometric quantization (53D50)

Related Items (6)

Group theoretical approach to the equivalence principle for uniformly accelerated frames ⋮ Formal group laws for affine Kac-Moody groups and group quantization ⋮ Lie group representations and quantization ⋮ Hidden symmetry and potential group of the Maxwell fish-eye ⋮ Cohomology, central extensions, and (dynamical) groups ⋮ Group manifold analysis of the structure of relativistic quantum dynamics

Cites Work

• On unitary ray representations of continuous groups
• On Time-Dependent Quadratic Quantum Hamiltonians
• Quantization as a consequence of the symmetry group: An approach to geometric quantization
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• Commuting Polynomials in Quantum Canonical Operators and Realizations of Lie Algebras
• Linear Canonical Transformations and Their Unitary Representations

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