Quantum states of a generalized time-dependent inverted harmonic oscillator
Quantum Physics
2009-11-10 v1
Abstract
We discuss the extension of the Lewis and Riesenfeld method of solving the time-dependent Schr\"odinger equation to cases where the invariant has continuous eigenvalues and apply it to the case of a generalized time-dependent inverted harmonic oscillator. As a special case, we consider a generalized inverted oscillator with constant frequency and exponentially increasing mass.
Keywords
Cite
@article{arxiv.quant-ph/0307084,
title = {Quantum states of a generalized time-dependent inverted harmonic oscillator},
author = {I. A. Pedrosa and I. Guedes},
journal= {arXiv preprint arXiv:quant-ph/0307084},
year = {2009}
}
Comments
7 pages, Latex file