The ladder operators on \(1+1\)-de Sitter space

DOI10.1007/s10773-021-04929-3zbMath1483.81089OpenAlexW3200812507MaRDI QIDQ2063119

Yanyan Li

Publication date: 10 January 2022

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-021-04929-3

zbMATH Keywords

phase spacecoherent statescreation operatorannihilation operator\(1+1\)-de Sitter space

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Exact solutions to problems in general relativity and gravitational theory (83C15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

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• Gauge field theory coherent states (GCS): I. General properties
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• QUANTIZATION
• Merits and demerits of the orbit method
• Coherent states for a quantum particle on a circle
• Coherent states on spheres
• Reality conditions inducing transforms for quantum gauge field theory and quantum gravity

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