Time-dependent harmonic oscillators - Concepedia

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Time-dependent harmonic oscillators

46

Citations

8

References

1979

Year

L. F. Landovitz, A. M. Levine, W. M. Schreiber

Physical review. A, General physics

Quantum DynamicOscillatorsTime-dependent Harmonic OscillatorsTime-dependent Harmonic OscillatorDissipative BehaviorOscillation TheoryQuantum-mechanical SolutionNonlinear ResonanceNonlinear Oscillation

Abstract

A formalism for a time-dependent harmonic oscillator is presented. The quantum-mechanical solution is developed and the Green's function is derived. Particular examples of runaway and dissipative behavior are considered.

References

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Quantum Mechanics and Path Integrals Students Quarterly Journal	1966	9.5K
On the Quantization of the Dissipative Systems E. Kanai Progress of Theoretical Physics Quantum DynamicHamiltonian TheoryDissipative SystemsHamiltonian System	1948	547
Dissipation in Quantum Mechanics. The Harmonic Oscillator I. R. Senitzky Physical Review Thermal FluctuationsQuantum ScienceQuantum DynamicEngineeringQuantum Computing	1960	455
NOTE ON THE FORCED AND DAMPED OSCILLATOR IN QUANTUM MECHANICS Edward H. Kerner Canadian Journal of Physics Disturbed OscillatorQuantum ScienceForced OscillatorQuantum DynamicEngineering	1958	364
Exact propagator for a time−dependent harmonic oscillator with and without a singular perturbation D. C. Khandekar, S. V. Lawande Journal of Mathematical Physics Spectral TheorySingular PerturbationPerturbation MethodClassical Unperturbed OscillatorExact Propagators	1975	130
Exact Solution of a Time-Dependent Quantal Harmonic Oscillator with a Singular Perturbation P. Camiz, Anna Gerardi, Carlo Marchioro, Journal of Mathematical Physics Quantum DynamicEngineeringQuantal ProblemExact SolutionGeometric Singular Perturbation Theory	1971	82
The Wave Mechanical Damped Harmonic Oscillator K W H Stevens Proceedings of the Physical Society Electromagnetic WaveEngineeringMechanical EngineeringMechanical SystemsClassical Problem	1958	67
Transition probabilities in a strong external field L. F. Landovitz Physical review. A, General physics Exact GreenDipole ApproximationEngineeringPhysicsPotential Theory	1975	14

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