Generalized coherent states for time-dependent and nonlinear Hamiltonian operators via complex Riccati equations

DOI10.1088/1751-8113/46/7/075304zbMath1264.81252arXiv1211.5109OpenAlexW3099329803MaRDI QIDQ4915685

Dieter Schuch, Oscar Rosas-Ortiz, Octavio Castaños

Publication date: 11 April 2013

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

Full work available at URL: https://arxiv.org/abs/1211.5109

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Operator algebra methods applied to problems in quantum theory (81R15) Open systems, reduced dynamics, master equations, decoherence (81S22) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Geometry of Riccati equations over normed division algebras ⋮ Quasi-coherent states for the Hermite oscillator ⋮ Group approach to the paraxial propagation of Hermite-Gaussian modes in a parabolic medium ⋮ Comment on “Quasi-coherent states for the Hermite oscillator” [J. Math. Phys. 59, 062104 (2018)] ⋮ Laguerre–Gaussian Wave Propagation in Parabolic Media ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Hermite Coherent States for Quadratic Refractive Index Optical Media

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