REGULARIZATION OF HAMILTONIANS AND PROCESSES

被引：28

作者：

ALBEVERIO, S ^{[1
]}

HOEGHKROHN, R ^{[1
]}

STREIT, L ^{[1
]}

机构：

[1] CNRS,CTR PHYS THEOR,F-13274 MARSEILLE 02,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 07期

关键词：

D O I：

10.1063/1.524649

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For Markov processes and Hamiltonians given by energy forms, singular drift coefficients and potentials more general than distributions are allowed. We show that the forms can be regularized in such a way tha the approximating processes and semigroups converge as the regularization is removed. © 1980 American Institute of Physics.

引用

收藏

页码：1636 / 1642

页数：7

相关论文

共 44 条

[1] REMARK ON CONNECTION BETWEEN STOCHASTIC MECHANICS AND HEAT EQUATION [J].

ALBEVERIO, S ;

HOEGHKRO.R .

JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (10) :1745-1747

[2] DIRICHLET FORMS AND DIFFUSION PROCESSES ON RIGGED HILBERT SPACES [J].

ALBEVERIO, S ;

HOEGHKROHN, R .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 40 (01) :1-57

[3]

ALBEVERIO S, 1977, ANN I H POINCARE B, V13, P269

[4] ENERGY FORMS, HAMILTONIANS, AND DISTORTED BROWNIAN PATHS [J].

ALBEVERIO, S ;

HOEGHKROHN, R ;

STREIT, L .

JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (05) :907-917

[5] SINGULAR PERTURBATIONS AND NONSTANDARD ANALYSIS [J].

ALBEVERIO, S ;

FENSTAD, JE ;

HOEGHKROHN, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 252 (AUG) :275-295

[6]

ALBEVERIO S, STRUCTURE DIFFUSION

[7] HAMILTONIAN FORMALISM AND THE CANONICAL COMMUTATION RELATIONS IN QUANTUM FIELD THEORY [J].

ARAKI, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1960, 1 (06) :492-504

[8]

COESTER F, 1970, PHYS REV, V117, P1137

[9] PATH SPACE PICTURE FOR FEYNMAN-KAC AVERAGES [J].

EZAWA, H ;

KLAUDER, JR ;

SHEPP, LA .

ANNALS OF PHYSICS, 1974, 88 (02) :588-620

[10] VESTIGIAL EFFECTS OF SINGULAR POTENTIALS IN DIFFUSION-THEORY AND QUANTUM-MECHANICS [J].

EZAWA, H ;

KLAUDER, JR ;

SHEPP, LA .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (04) :783-799

← 1 2 3 4 5 →