TRANSITION FROM CLASSICAL MECHANICS TO QUANTUM-MECHANICS - CHI-4 PERTURBED HARMONIC-OSCILLATOR

被引：22

作者：

ALVAREZ, G ^{[1
]}

GRAFFI, S ^{[1
]}

SILVERSTONE, HJ ^{[1
]}

机构：

[1] UNIV BOLOGNA,DEPARTIMENTO MATEMAT,I-40127 BOLOGNA,ITALY

来源：

PHYSICAL REVIEW A | 1988年 / 38卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.38.1687

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

引用

页码：1687 / 1696

页数：10

共 26 条

[1]

Abramowitz M., 1964, NBS APPL MATH SER, V55

[2] ON THE SUMMATION OF THE BIRKHOFF-GUSTAVSON NORMAL-FORM OF AN ANHARMONIC-OSCILLATOR [J].

ALI, MK ;

WOOD, WR ;

DEVITT, JS .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (07) :1806-1812

[3] THE QUANTUM NORMAL-FORM AND ITS EQUIVALENTS [J].

ALI, MK .

JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (10) :2565-2572

[4] CONVERGENT RENORMALIZED BIRKHOFF-GUSTAVSON NORMAL-FORM FOR THE QUARTIC ANHARMONIC-OSCILLATOR [J].

ARTECA, GA .

PHYSICAL REVIEW A, 1987, 35 (11) :4479-4488

[5]

BALIAN R, 1979, LECTURE NOTES PHYSIC, V106

[6] ANALYTIC STRUCTURE OF ENERGY LEVELS IN A FIELD-THEORY MODEL [J].

BENDER, CM ;

WU, TT .

PHYSICAL REVIEW LETTERS, 1968, 21 (06) :406-&

[7] NUMEROLOGICAL ANALYSIS OF WKB APPROXIMATION IN LARGE ORDER [J].

BENDER, CM ;

OLAUSSEN, K ;

WANG, PS .

PHYSICAL REVIEW D, 1977, 16 (06) :1740-1748

[8]

COLWELL SM, 1979, LECTURE NOTES PHYSIC, V93, P299

[9] BIRKHOFF-GUSTAVSON NORMAL-FORM IN CLASSICAL AND QUANTUM-MECHANICS [J].

ECKHARDT, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (15) :2961-2972

[10] THE SCHRODINGER-EQUATION AND CANONICAL PERTURBATION-THEORY [J].

GRAFFI, S ;

PAUL, T .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (01) :25-40

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