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Zbl 1073.81564
Pedrosa, I.A.; Guedes, I.
Quantum states of a generalized time-dependent inverted harmonic oscillator. (English)
[J] Int. J. Mod. Phys. B 18, No. 9, 1379-1385 (2004). ISSN 0217-9792

Summary: 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.
MSC 2000:
*81Q05 Closed and approximate solutions to quantum-mechanical equations

Keywords: Inverted oscillator; invariant; invariant method; wave functions; Weber functions

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