Canonical Approach to the Time-Dependent Parametric Oscillator with and without a Singular Potential

DOI10.1142/S0217979203020673zbMath1073.81565OpenAlexW2016688401MaRDI QIDQ5312158

I. A. Pedrosa, I. Guedes

Publication date: 30 August 2005

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

Full work available at URL: https://doi.org/10.1142/s0217979203020673

zbMATH Keywords

invariantcanonical and unitary transformationsinvariant method and wave functionsTime-dependent oscillators

Mathematics Subject Classification ID

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

Related Items (1)

An alternative approach to obtain the exact wave functions of time-dependent Hamiltonian systems involving quadratic, inverse quadratic, and \((1/x)p + p(1/x)\) terms

Cites Work

• The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit
• Canonical transformations and exact invariants for dissipative systems
• A Note on the Time-Dependent Harmonic Oscillator
• Gauge transformation approach to the exact solution of a generalized harmonic oscillator
• Quantum motion in a Paul trap
• Exact evolution of the generalized damped harmonic oscillator
• Unitary equivalence and phase properties of the quantum parametric and generalized harmonic oscillators
• Exact Solution of a Time-Dependent Quantal Harmonic Oscillator with a Singular Perturbation

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