Coupled harmonic oscillator systems: An elementary algebraic decoupling approach

DOI10.1063/1.1288248zbMath0978.81016OpenAlexW2076993537MaRDI QIDQ2738155

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Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.1288248

zbMATH Keywords

static perturbationbilinear perturbing potentialsdynamic coupling termisotropic two-dimensional oscillator in a transverse magnetic field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Quadratic Hamiltonians in phase space and their eigenstates
• Symmetries of two-mode squeezed states
• A Lie algebraic study of some Schrödinger equations
• O(3,3)-like symmetries of coupled harmonic oscillators

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