QUANTUM LIE SYSTEMS AND INTEGRABILITY CONDITIONS

DOI10.1142/S021988780900420XzbMath1186.81067arXiv0908.2235OpenAlexW3097977685MaRDI QIDQ5305091

José F. Cariñena, Javier de Lucas

Publication date: 19 March 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2235

zbMATH Keywords

quantum mechanicsspin Hamiltoniansintegrability conditionsLie systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (4)

Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra ⋮ Integrability of Lie Systems through Riccati Equations ⋮ LIE SYSTEMS AND INTEGRABILITY CONDITIONS FOR t-DEPENDENT FREQUENCY HARMONIC OSCILLATORS ⋮ Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry

Cites Work

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• On spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases
• Some physical applications of systems of differential equations admitting a superposition rule
• Dynamics and geometric phase of two spins with exchange coupling in a rotating magnetic field
• Inverse techniques and evolution of spin-\(1/2\) systems
• Superposition rules, Lie theorem, and partial differential equations
• On Nonadiabatic Processes in Inhomogeneous Fields
• Reduction of time-dependent systems admitting a superposition principle

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