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Zbl 0988.81030
Fernández Guasti, M.; Gil-Villegas, A.
Orthogonal functions invariant for the time-dependent harmonic oscillator. (English)
[J] Phys. Lett., A 292, No.4-5, 243-245 (2002). ISSN 0375-9601

Summary: The Lewis invariant for the time-dependent harmonic oscillator is derived using a polar complex representation of the solution. This derivation is shown to be equivalent to an invariant stemming from the linearly independent solutions. The physical meaning of the involved constants and the associated auxiliary equation are elucidated.
MSC 2000:
*81Q05 Closed and approximate solutions to quantum-mechanical equations

Keywords: Lewis invariant; polar complex solution representation; linear independent solutions

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