Modified Laplace transformation method and its application to the anharmonic oscillator

Content Provider	Semantic Scholar
Author	Mizutani, Naoki Yamada, Hirofumi
Copyright Year	2008
Abstract	We apply a recently proposed approximation method to the evaluation of non-Gaussian integral and anharmonic oscillator. The method makes use of the truncated perturbation series by recasting it via the modified Laplace integral representation. The modification of the Laplace transformation is such that the upper limit of integration is cut off and an extra term is added for the compensation. For the non-Gaussian integral, we find that the perturbation series can give accurate result and the obtained approximation converges to the exact result in the N → ∞ limit (N denotes the order of perturbation expansion). In the case of anharmonic oscillator, we show that several order result yields good approximation of the ground state energy over the entire parameter space. The large order aspect is also investigated for the anharmonic oscillator.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/physics/9702013v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Approximation Crystal oscillator Ground state Normal Statistical Distribution Oscillator Device Component Perturbation theory Population Parameter Quantum harmonic oscillator
Content Type	Text
Resource Type	Article