NDLI: A class of exactly solved time-dependent quantum harmonic oscillators

Content Provider	Scilit
Author	Kim, Sang Pyo
Copyright Year	1994
Description	Journal: Journal of Physics A: General Physics We consider a class of time-dependent harmonic oscillators, $H(t)=p^{2}/2mt^{alpha }$+ m omega$ ^{2}t^{b}q^{2}$/2, whose mass and frequency vary as non-negative powers of time. Classically they describe damping oscillators slowly decaying as negative powers of time. Using the connection between classical and quantum harmonic oscillators we find analytically the Lewis-Riesenfeld invariants, obtain the exact quantum states, and compare these with the Caldirola-Kanai oscillator.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/27/11/039/pdf
Ending Page	3936
Page Count	10
Starting Page	3927
ISSN	00223689
DOI	10.1088/0305-4470/27/11/039
Journal	Journal of Physics A: General Physics
Issue Number	11
Volume Number	27
Language	English
Publisher	IOP Publishing
Publisher Date	1994-06-07
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Mathematical Physics Harmonic Oscillator
Content Type	Text
Resource Type	Article

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A class of exactly solved time-dependent quantum harmonic oscillators