The quantum theory of damping is presented and illustrated by means of a driven damped harmonic oscillator. The theory is formulated in the coherent state representation which illustrates very vividly ...

1. Introduction The Duffing equation is a non-linear second-order differential equation. The equation describes the motion of a damped oscillator with a more complicated potential than in simple ...

The last case is the most interesting case and Celeghini et al. [6] rigorously studied classical and quantum damped harmonic oscillator with a constant mass. In this paper we will study the case where ...

The code implements three different cases of oscillatory motion: Damped Harmonic Oscillator Phase Space Representation of the Damped Oscillator Forced Damped Oscillation Each section computes and ...

Using the exact path integral solution for the damped harmonic oscillator it is shown that in general there does not exist an exact dissipative Liouville operator describing the dynamics of the ...

The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and ...