Non-Adiabatic Solution to the Time Dependent Quantum Harmonic Oscillator
Quantum Physics
2015-02-24 v1 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Atomic Physics
Abstract
Using Schwinger Variational Principle we solve the problem of quantum harmonic oscillator with time dependent frequency. Here, we do not take the usual approach which implicitly assumes an adiabatic behavior for the frequency. Instead, we propose a new solution where the frequency only needs continuity in its first derivative or to have a finite set of removable discontinuities.
Keywords
Cite
@article{arxiv.1101.0025,
title = {Non-Adiabatic Solution to the Time Dependent Quantum Harmonic Oscillator},
author = {C. A. M. de Melo and B. M. Pimentel and J. A. Ramirez},
journal= {arXiv preprint arXiv:1101.0025},
year = {2015}
}
Comments
7 pages