Construction of a convergent perturbation theory: Case study of the anharmonic oscillator ground state energy

被引：1

作者：

Rath, B ^{[1
]}

机构：

[1] Ravenshaw Coll, Dept Phys, Cuttack 753001, Orissa, India

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1997年 / 66卷 / 12期

关键词：

perturbation theory; convergency; anharmonic oscillator; ground state energy;

D O I：

10.1143/JPSJ.66.3693

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A systematic procedure for constructing a convergent perturbation theory is developed. This procedure can be used to calculate energy levels as well as wave functions. As an example of this, it has been applied to an anharmonic oscillator ground state with a strong coupling limit as well as a weak coupling limit.

引用

页码：3693 / 3695

页数：3

共 10 条

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

BENDER, CM ;

WU, TS .

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

[2] ANHARMONIC OSCILLATOR [J].

BENDER, CM ;

WU, TT .

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

[3] THE OPERATOR METHOD OF THE APPROXIMATE SOLUTION OF THE SCHRODINGER-EQUATION [J].

FERANCHUK, ID ;

KOMAROV, LI .

PHYSICS LETTERS A, 1982, 88 (05) :211-214

[4] 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

[5] STRONG-COUPLING EXPANSION FOR THE ANHARMONIC-OSCILLATORS -D2/DX2+X2+LAMBDA-X2N [J].

GUARDIOLA, R ;

SOLIS, MA ;

ROS, J .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (06) :713-724

[6] ANHARMONIC-OSCILLATOR - A NEW APPROACH [J].

HALLIDAY, IG ;

SURANYI, P .

PHYSICAL REVIEW D, 1980, 21 (06) :1529-1537

[7] CONVERGENT STRONG-COUPLING EXPANSIONS FROM DIVERGENT WEAK-COUPLING PERTURBATION-THEORY [J].

JANKE, W ;

KLEINERT, H .

PHYSICAL REVIEW LETTERS, 1995, 75 (15) :2787-2791

[8]

Rath B., 1990, EUR J PHYS, V11, P184

[9]

SCHIFF LI, 1985, QUANTUM MECH, P267

[10] 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 [J].

Weniger, EJ .

PHYSICAL REVIEW LETTERS, 1996, 77 (14) :2859-2862

← 1 →