Renormalization-Group Resummation of a Divergent Series of the Perturbative Wave Functions of Quantum Systems | Zendy

Teiji Kunihiro | Zendy

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Renormalization-Group Resummation of a Divergent Series of the Perturbative Wave Functions of Quantum Systems

Author(s) -

Teiji Kunihiro

Publication year - 1998

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.131.459

Subject(s) - resummation , anharmonicity , divergent series , physics , renormalization group , perturbation theory (quantum mechanics) , series (stratigraphy) , wave function , mathematical physics , renormalization , quantum electrodynamics , non perturbative , series expansion , quantum , quantum mechanics , quantum chromodynamics , mathematics , mathematical analysis , paleontology , summation by parts , biology

The perturbative renormalization group(RG) equation is applied to resumdivergent series of perturbative wave functions of quantum anharmonicoscillator. It is found that the resummed series gives the cumulant of thenaive perturbation series. It is shown that a reorganization of the resummedseries reproduce the correct asymptotic form of the wave function at $x\to\infty$ when the perturbation expansion is stopped at the fourth order. A briefcomment is given on the relation between the present method and thedelta-expansion method, which is based on a kind of a nonperturbative RGequation.Comment: PTPTex. The needed style files are attached. 12 pages. 1 figure. Talk presented at 1997 Yukawa International Seminar (YKIS97). To be published in the Proceedings as an issue of Prog. Theor. Phys. Supp

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