\(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\) approaches to the radial oscillator: generalized coherent states and squeezing of variances

DOI10.1016/j.aop.2016.07.001zbMath1380.81161arXiv1603.03499OpenAlexW3101967770MaRDI QIDQ1700952

Marco Enríquez, Oscar Rosas-Ortiz, Sara Cruz y Cruz

Publication date: 22 February 2018

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

Full work available at URL: https://arxiv.org/abs/1603.03499

zbMATH Keywords

factorization methodcoherent statessqueezed statesspectrum generating algebrasradial oscillator

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30)

Related Items (7)

Quasienergy operators and generalized squeezed states for systems of trapped ions ⋮ Coherent states in magnetized anisotropic 2D Dirac materials ⋮ Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov–Casher system in the cosmic string background ⋮ Group approach to the paraxial propagation of Hermite-Gaussian modes in a parabolic medium ⋮ Triplet \(q\)-cat states of the Biedenharn-MacFarlane \(q\)-oscillator with \(q > 1\) ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Generalized Susskind–Glogower coherent states

Uses Software

• DLMF

Cites Work

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