Equivalence of a Harmonic Oscillator to a Free Particle

Details Equivalence of a Harmonic Oscillator to a Free Particle Equivalence of a Harmonic Oscillator to a Free Particle

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pthph..84.1019t&link_type=abstract

Progress of Theoretical Physics, Vol. 84, No. 6, pp. 1019-1024

Physics

22

Scientific paper

It is shown that a time-dependent scaling of space and time coordinates
transforms the time-dependent Schrödinger equation for a
(time-dependent) harmonic oscillator to that for a free particle. This
equivalence gives a particularly straightforward way to compute the
Feynman kernel. Other applications are also suggested.

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