arXiv:quant-ph/0307084 · International Journal of Modern Physics B

QUANTUM STATES OF A GENERALIZED TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR

I. A. PEDROSA, I. GUEDES

Published Apr 10, 2004• 29 citations

Abstract

We discuss the extension of the Lewis and Riesenfeld method of solving the time-dependent Schrödinger 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.

DOI: 10.1142/s0217979204024732

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