Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator

Abstract

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.

To be published in the Brazilian Journal of Physics

References in corpus (3)

• Fast atomic transport without vibrational heating
• Dynamical invariants for quantum control of four-level systems
• Canonical quantization of so-called non-Lagrangian systems