ON THE RELATION BETWEEN THE SINGULAR AND THE WEAK-COUPLING LIMITS

被引：8

作者：

ACCARDI, L

FRIGERIO, A

LU, YG

机构：

[1] UNIV ROME 2,CTR MATEMAT V VOLTERRA,ROME,ITALY

[2] UNIV MILAN,DIPARTIMENTO FIS,I-20122 MILAN,ITALY

来源：

ACTA APPLICANDAE MATHEMATICAE | 1992年 / 26卷 / 03期

关键词：

SINGULAR COUPLING LIMIT; WEAK COUPLING LIMIT; QUANTUM BROWNIAN MOTION; QUANTUM STOCHASTIC DIFFERENTIAL EQUATION;

D O I：

10.1007/BF00047202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

After having recalled some definitions concerning quantum stochastic processes and, in particular, quantum Brownian motions, a general scheme is introduced which allows a unified approach to the weak coupling and singular coupling limits. The analogies and differences between the two are discussed. The main difference consists of the fact that, in the singular coupling limit, the use of a Hamiltonian unbounded below seems to be unavoidable, while this is not the case for the weak coupling limit.

引用

页码：197 / 208

页数：12

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