Quantum states of a generalized time-dependent inverted harmonic oscillator

Physics – Quantum Physics

Scientific paper

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7 pages, Latex file

Scientific paper

10.1142/S0217979204024732

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.

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