LAPLACE ASYMPTOTIC EXPANSIONS OF CONDITIONAL WIENER INTEGRALS AND GENERALIZED MEHLER KERNEL FORMULAS FOR HAMILTONIANS ON L2(RN)

被引:10
作者
DAVIES, IM
TRUMAN, A
机构
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1984年 / 17卷 / 14期
关键词
D O I
10.1088/0305-4470/17/14/021
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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页码:2773 / 2789
页数:17
相关论文
共 13 条
[1]  
AKHIEZER NI, 1962, CALCULUS VARIATIONS, pCH4
[2]   SCHRODINGER OPERATORS WITH MAGNETIC-FIELDS .1. GENERAL INTERACTIONS [J].
AVRON, J ;
HERBST, I ;
SIMON, B .
DUKE MATHEMATICAL JOURNAL, 1978, 45 (04) :847-883
[3]   LAPLACE ASYMPTOTIC EXPANSIONS OF CONDITIONAL WIENER INTEGRALS AND GENERALIZED MEHLER KERNEL FORMULAS [J].
DAVIES, I ;
TRUMAN, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (11) :2059-2070
[4]   ON THE LAPLACE ASYMPTOTIC-EXPANSION OF CONDITIONAL WIENER INTEGRALS AND THE BENDER-WU FORMULA FOR X2N-ANHARMONIC OSCILLATORS [J].
DAVIES, I ;
TRUMAN, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (02) :255-266
[5]  
DAVIES IM, 1982, THESIS HERIOTWATT U
[6]   THE POLARON PROBLEM AND LARGE DEVIATIONS [J].
DONSKER, MD ;
VARADHAN, SRS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1981, 77 (03) :235-237
[7]   ASYMPTOTIC EXPANSIONS OF GAUSSIAN INTEGRALS [J].
ELLIS, RS ;
ROSEN, JS .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 3 (01) :705-709
[8]  
ELLIS RS, 1984, UNPUB T AM MATH SOC
[9]  
FEYNMAN RP, 1965, QUANTUM MECHANICS PA, P64
[10]  
Percival I. C., 1977, ADV CHEM PHYS, P1