Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-10-10
Phys.Rev.D57:2035-2039,1998
Physics
High Energy Physics
High Energy Physics - Theory
The year in the preprint number is corrected. Two-column version. RevTex 14 pages. No figure
Scientific paper
10.1103/PhysRevD.57.2035
The renormalization group method is applied for obtaining the asymptotic form of the wave function of the quantum anharmonic oscillator by resumming the perturbation series. It is shown that the resumed series is the cumulant of the naive perturbation series. Working out up to the sixth order and performing a further resummation proposed by Bender and Bettencourt, we find that the agreement with the WKB result becomes worse in the higher orders than the fourth at which the agreement is the best.
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