New Variational Perturbation Theory Based on q−Deformed Oscillator

Author: Kim Hyeong-Chan   Yee Jae   Kim Sang  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.45, Iss.5, 2006-05, pp. : 984-993

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Abstract

A new variational perturbation theory is developed based on the q−deformed oscillator. It is shown that the new variational perturbation method provides 200 and 10 times better accuracy for the ground state energy of anharmonic oscillator than the Gaussian and the post Gaussian approximation, respectively, for weak coupling.