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Renormalization-Group Resummation of a Divergent Series of the Perturbative Wave Functions of Quantum Systems
1998
Progress of Theoretical Physics Supplement
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The perturbative renormalization group(RG) equation is applied to resum divergent series of perturbative wave functions of quantum anharmonic oscillator. It is found that the resummed series gives the cumulant of the naive perturbation series. It is shown that a reorganization of the resummed series reproduce the correct asymptotic form of the wave function at x→∞ when the perturbation expansion is stopped at the fourth order. A brief comment is given on the relation between the present method
doi:10.1143/ptps.131.459
fatcat:oi4xitxugfa6rllwkmbajyz2wq