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Physical Review A

Theory of a quantum anharmonic oscillator

Salvatore Carusotto

Published Oct 1, 1988• 9 citations
Publisher

Abstract

The time evolution of a quantum single-quartic anharmonic oscillator is considered. The study is carried on in operational form by use of the raising and lowering operators of the oscillator. The equation of motion is solved by application of a new integration method based on iteration techniques, and the rigorous solutions that describe the time development of the displacement and momentum operators of the oscillator are obtained. These operators are presented as a Laplace transform and a subsequent inverse Laplace transform of suitable functionals. Finally, the results are employed to describe the time evolution of a quasiclassical anharmonic oscillator.

DOI
10.1103/physreva.38.3249

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