On generalized coherent states with maximal symmetry for the harmonic oscillator

DOI10.1063/1.528261zbMath0673.22016OpenAlexW2059697275MaRDI QIDQ3826779

Jules Beckers, Nathalie Debergh

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528261

zbMATH Keywords

uncertainty principlecoherent statesHeisenberg relationsone-dimensional harmonic oscillatorinvariance Lie algebraHeisenberg h(2) algebra

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of global differential geometry to the sciences (53C80) Coherent states (81R30) Superalgebras (17A70) Lie algebras of Lie groups (22E60) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Supercoherent states
• Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,R)
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• On the number of Casimir operators associated with any lie group
• Coherent and Incoherent States of the Radiation Field