Zusammenfassung
We discuss the Lewis and Riesenfeld invariant method for cases where the
invariant has continuous eigenvalues and use it to find the Schrodinger
wave functions of an inverted pendulum under time-dependent gravitation.
As a particular case, we consider an inverted pendulum with
exponentially increasing mass and constant gravitation. We also obtain
the exact solutions for a generalized time-dependent inverted pendulum.
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