Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator - INSPIRE

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Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator

Jun 20, 2020

7 pages

Published in:

Braz.J.Phys. 50 (2020) 5, 534-540

Published: Jun 30, 2020

e-Print:

2006.11637 [quant-ph]

DOI:

10.1007/s13538-020-00765-8 (publication)

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ADS Abstract Service

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Abstract: (arXiv)

In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the construction of dynamical invariants previously proposed by the authors, in which fundamental importance is given to the linear invariants of the oscillator.

Note:

To be published in the Brazilian Journal of Physics

Dynamical invariants
Dissipative systems
Quantum damped oscillator
Time-dependent systems
oscillator: harmonic
dimension: 1
frequency: time dependence
quantization
dissipation

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Figures(0)

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