NEW PERTURBATIVE APPROACH FOR THE ANHARMONIC-OSCILLATOR

被引：3

作者：

HAAN, O ^{[1
]}

MUTTER, KH ^{[1
]}

机构：

[1] UNIV WUPPERTAL,DEPT PHYS,WUPPERTAL,FED REP GER

来源：

NUCLEAR PHYSICS B | 1979年 / 155卷 / 02期

关键词：

D O I：

10.1016/0550-3213(79)90281-5

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A new perturbative approach is presented and applied to the anharmonic oscillator. Estimating the large-order behaviour by means of the Lipatov method, the new perturbation expansion turns out to be convergent for the partition function at non-zero temperature. Although the new perturbation expansion is not convergent for the ground-state energy, it nevertheless provides accurate approximations, even in situations which cannot be treated by standard perturbation techniques, like the strong coupling regime. © 1979.

引用

页码：461 / 479

页数：19

共 19 条

[11] NONPERTURBATIVE METHODS AND EXTENDED-HADRON MODELS IN FIELD-THEORY .1. SEMICLASSICAL FUNCTIONAL METHODS
DASHEN, RF
HASSLACHER, B
NEVEU, A
[J]. PHYSICAL REVIEW D, 1974, 10 (12): : 4114 - 4129
[12] SINGULARITY STRUCTURE IN COMPLEX COUPLING-CONSTANT PLANE FOR POTENTIALS WITH DEGENERATE MINIMA
FABRICIUS, K
MUTTER, KH
[J]. PHYSICAL REVIEW D, 1978, 18 (08): : 2882 - 2889
[13] Feynman R.P., 1965, QUANTUM MECH PATH IN
[14] NON-CLASSICAL CONFIGURATIONS IN EUCLIDEAN FIELD-THEORY AS MINIMA OF CONSTRAINED SYSTEMS
GERVAIS, JL
NEVEU, A
VIRASORO, MA
[J]. NUCLEAR PHYSICS B, 1978, 138 (01) : 45 - 72
[15] BOREL SUMMABILITY - APPLICATION TO ANHARMONIC OSCILLATOR
GRAFFI, S
GRECCHI, V
SIMON, B
[J]. PHYSICS LETTERS B, 1970, B 32 (07) : 631 - &
[16] LIPATOV LN, 1977, JETP LETT+, V25, P104
[17] PADE APPROXIMANTS AND ANHARMONIC OSCILLATOR
LOEFFEL, JJ
MARTIN, A
SIMON, B
WIGHTMAN, AS
[J]. PHYSICS LETTERS B, 1969, B 30 (09) : 656 - &
[18] PERTURBATIVE EXPANSION AND INFINITE COUPLING LIMIT
PARIS, G
[J]. PHYSICS LETTERS B, 1977, 69 (03) : 329 - 331
[19] COUPLING CONSTANT ANALYTICITY FOR ANHARMONIC OSCILLATOR
SIMON, B
DICKE, A
[J]. ANNALS OF PHYSICS, 1970, 58 (01) : 76 - &

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