IS THE FEYNMAN-DYSON SERIES ADEQUATE FOR THE ASYMPTOTIC-EXPANSION OF THE GREENS-FUNCTION OF THE QUANTUM-MECHANICAL ANHARMONIC-OSCILLATOR

被引：1

作者：

YEUNG, WB ^{[1
]}

机构：

[1] NATL CENT UNIV, DEPT PHYS, Chungli 320, TAIWAN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 03期

关键词：

D O I：

10.1063/1.524445

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the asymptotic expansion of the Green's function of the quantum mechanical anharmonic oscillator by applying the method of steepest descents in the evaluation of the corresponding Euclidean path integrals. The contributions arising from the pseudoparticle solutions are then shown to be zero. © 1980 American Institute of Physics.

引用

页码：477 / 485

页数：9

共 18 条

[1]

Abers E. S., 1973, Physics Reports. Physics Letters Section C, V9C, P1, DOI 10.1016/0370-1573(73)90027-6

[2] PSEUDOPARTICLE SOLUTIONS OF YANG-MILLS EQUATIONS [J].

BELAVIN, AA ;

POLYAKOV, AM ;

SCHWARTZ, AS ;

TYUPKIN, YS .

PHYSICS LETTERS B, 1975, 59 (01) :85-87

[3] STRUCTURE OF GAUGE THEORY VACUUM [J].

CALLAN, CG ;

DASHEN, RF ;

GROSS, DJ .

PHYSICS LETTERS B, 1976, 63 (03) :334-340

[4]

de Bruijn N. G., 1961, ASYMPTOTIC METHODS A

[5]

Feynman R.P., 1965, QUANTUM MECH PATH IN

[6] EXTENDED PARTICLES IN QUANTUM FIELD-THEORIES [J].

GERVAIS, JL ;

SAKITA, B .

PHYSICAL REVIEW D, 1975, 11 (10) :2943-2945

[7] VACUUM PERIODICITY IN A YANG-MILLS QUANTUM-THEORY [J].

JACKIW, R ;

REBBI, C .

PHYSICAL REVIEW LETTERS, 1976, 37 (03) :172-175

[8] TREATMENT OF ZERO-FREQUENCY MODES IN PERTURBATION EXPANSION ABOUT CLASSICAL FIELD CONFIGURATIONS [J].

JEVICKI, A .

NUCLEAR PHYSICS B, 1976, 117 (02) :365-376

[9] STATIONARY PHASE APPROXIMATION OF FEYNMAN PATH INTEGRALS [J].

LAM, CS .

NUOVO CIMENTO A, 1967, 47 (03) :451-+

[10]

LAM CS, 1976, NUOVO CIMENTO A, V50, P504

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