Construction of the strong coupling expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator via a renormalized strong coupling expansion

被引：97

作者：

Weniger, EJ ^{[1
]}

机构：

[1] UNIV REGENSBURG,INST THEORET & PHYS CHEM,D-93040 REGENSBURG,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.77.2859

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A recently developed renormalized strong coupling expansion [E. J. Weniger, Ann. Phys. (N.Y.) 246, 133 (1996)] is employed to compute the coefficients of the standard strong coupling expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator. This approach is very simple, both conceptually and technically, and produces more accurate results than previously used techniques which were in most cases applied to the quartic case only.

引用

页码：2859 / 2862

页数：4

共 28 条

[1]

[Anonymous], 1992, NUMER ALGORITHMS, DOI DOI 10.1007/BF02141954

[2] LARGE-ORDER BEHAVIOR OF PERTURBATION THEORY [J].

BENDER, CM ;

WU, TS .

PHYSICAL REVIEW LETTERS, 1971, 27 (07) :461-&

[3] ANHARMONIC OSCILLATOR .2. STUDY OF PERTURBATION-THEORY IN LARGE ORDER [J].

BENDER, CM ;

WU, TT .

PHYSICAL REVIEW D, 1973, 7 (06) :1620-1636

[4] ANHARMONIC OSCILLATOR [J].

BENDER, CM ;

WU, TT .

PHYSICAL REVIEW, 1969, 184 (05) :1231-&

[5] THE INFINITE COUPLING LIMIT OF PERTURBATIVE EXPANSIONS FROM A VARIATIONAL EXTRAPOLATION METHOD [J].

BONNIER, B ;

HONTEBEYRIE, M ;

TICEMBAL, EH .

JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (12) :3048-3052

[6]

Brezinski C., 1991, Extrapolation Methods, Theory and Practice, DOI DOI 10.1016/B978-0-444-88814-3.50004-0

[7] Effective characteristic polynomials and two-point Pade approximants as summation techniques for the strongly divergent perturbation expansions of the ground state energies of anharmonic oscillators [J].

Cizek, J ;

Weniger, EJ ;

Bracken, P ;

Spirko, V .

PHYSICAL REVIEW E, 1996, 53 (03) :2925-2939

[8]

CIZEK J, 1986, INT J QUANTUM CHEM Q, V20, P65

[9] ACCURATE EIGENVALUES AND EIGENFUNCTIONS FOR QUANTUM-MECHANICAL ANHARMONIC-OSCILLATORS [J].

FERNANDEZ, FM ;

GUARDIOLA, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (23) :7169-7180

[10] STRONG COUPLING EXPANSION FOR ANHARMONIC-OSCILLATORS AND PERTURBED COULOMB POTENTIALS [J].

FERNANDEZ, FM .

PHYSICS LETTERS A, 1992, 166 (3-4) :173-176

← 1 2 3 →