Exact dynamics for a class of nonlinear Hamiltonians and the classification of its associated Alhassid-Levine Lie algebras

DOI10.1016/S0375-9601(98)00461-7zbMath0941.81023MaRDI QIDQ1966781

J. L. Gruver, Angelo Plastino, A. N. Proto

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Bose operatorsAlhassid-Levine Lie algebraexact temporal evolutiongeneralized nonlinear oscillatormulticommutators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• Quantum noise
• Long-Time Evolution of Semiclassical States in Anharmonic Potentials
• Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
• Quantum theory: concepts and methods