CONVERGENCE PROOF FOR OPTIMIZED DELTA-EXPANSION - ANHARMONIC-OSCILLATOR

被引：124

作者：

DUNCAN, A ^{[1
]}

JONES, HF ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,DEPT PHYS,LONDON SW7 2BZ,ENGLAND

来源：

PHYSICAL REVIEW D | 1993年 / 47卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.47.2560

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A recent proof of the convergence of the optimized delta expansion for one-dimensional non-Gaussian integrals is extended to the finite-temperature partition function of the quantum anharmonic oscillator. The convergence is exponentially fast, with the remainder falling as e(-cN2/3) at order N in the expansion, independently of the size of the coupling or the sign of the mass term. In particular, the approach gives a convergent resummation procedure for the double-well (non-Borel-summable) case.

引用

页码：2560 / 2572

页数：13

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