Coherent states of the real symplectic group in a complex analytic parametrization. II. Annihilation-operator coherent states

DOI10.1063/1.527194zbMath0593.22021OpenAlexW2071605520MaRDI QIDQ3722758

Christiane Quesne

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527194

zbMATH Keywords

irreducible representationsBargmann representationreal symplectic groupSp(2d,\({\mathbb{R}})\)annihilation-operator coherent statesBargmann space of analytic functions

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)

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Cites Work

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• Coherent states for arbitrary Lie group
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• Boson realization of sp(4). I. The matrix formulation
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• Coherent states of the real symplectic group in a complex analytic parametrization. I. Unitary-operator coherent states
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• On the Representations of the Semisimple Lie Groups. II
• Bases for the Irreducible Representations of the Unitary Groups and Some Applications
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• Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
• Noninvariance Groups in the Second-Quantization Picture and Their Applications
• Linear Canonical Transformations and Their Unitary Representations

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