SCALING PROPERTY OF VARIATIONAL PERTURBATION EXPANSION FOR A GENERAL ANHARMONIC-OSCILLATOR WITH X(P)-POTENTIAL

被引：19

作者：

JANKE, W ^{[1
]}

KLEINERT, H ^{[1
]}

机构：

[1] FREE UNIV BERLIN,INST THEORET PHYS,D-14195 BERLIN,GERMANY

来源：

PHYSICS LETTERS A | 1995年 / 199卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(95)00126-N

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove a powerful scaling property for the extremality condition in the recently developed variational perturbation theory which converts divergent perturbation expansions into exponentially fast convergent ones. The proof is given for the energy eigenvalues of an anharmonic oscillator with an arbitrary x(p)-potential. The scaling property greatly increases the accuracy of the results.

引用

页码：287 / 290

页数：4

共 30 条

[21]

RITSCHEL U, 1989, PHYS LETT B, V227, P44

[22] SUMMATION OF DIVERGENT SERIES BY ORDER DEPENDENT MAPPINGS - APPLICATION TO THE ANHARMONIC-OSCILLATOR AND CRITICAL EXPONENTS IN FIELD-THEORY [J].

SEZNEC, R ;

ZINNJUSTIN, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (07) :1398-1408

[23] CONVERGENT PERTURBATION-THEORY FOR THE SCALAR PHI-2P FIELD-THEORIES - THE GELL-MANN-LOW FUNCTION [J].

SHAVERDYAN, BS ;

USHVERIDZE, AG .

PHYSICS LETTERS B, 1983, 123 (05) :316-318

[24] GAUSSIAN EFFECTIVE POTENTIAL IN VARIATIONAL PERTURBATION-THEORY [J].

SISSAKIAN, AN ;

SOLOVTSOV, IL ;

SHEVCHENKO, OY .

PHYSICS LETTERS B, 1993, 313 (3-4) :367-373

[25]

STANCU I, 1991, PHYS REV D, V42, P2710

[26] GAUSSIAN EFFECTIVE POTENTIAL .2. LAMBDA-PHI-4 FIELD-THEORY [J].

STEVENSON, PM .

PHYSICAL REVIEW D, 1985, 32 (06) :1389-1408

[27] THE RETURN OF LAMBDA-PHI-4 [J].

STEVENSON, PM ;

TARRACH, R .

PHYSICS LETTERS B, 1986, 176 (3-4) :436-440

[28]

STEVENSON PM, 1985, PHYS REV D, V30, P1712

[29] ARE EVEN EXACT EFFECTIVE POTENTIALS TRIVIALITY BLIND [J].

TARRACH, R .

PHYSICS LETTERS B, 1991, 262 (2-3) :294-297

[30]

THOMA MH, 1991, Z PHYS C, V44, P343

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