Title: Renormalization-group resummation of a divergent series of the perturbative wave functions of the quantum anharmonic oscillator
Abstract:The renormalization group method is applied to obtain the asymptotic form of the wave function of the quantum anharmonic oscillator by resumming the perturbation series. It is shown that the resummed ...The renormalization group method is applied to obtain the asymptotic form of the wave function of the quantum anharmonic oscillator by resumming the perturbation series. It is shown that the resummed series is the cumulant of the naive perturbation series. Working out up to the sixth order and performing the further resummation proposed by Bender and Bettencourt, we find that the agreement with the WKB result becomes worse in higher orders than the fourth, at which the agreement is the best.Read More
Publication Year: 1998
Publication Date: 1998-02-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 31
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