Complete positivity of nonlinear evolution: A case study

被引：26

作者：

Czachor, M

Kuna, M

机构：

[1] Gdansk Tech Univ, Wydzial Fiz Tech & Matemat Stosowanej, PL-80952 Gdansk, Poland

[2] Tech Univ Clausthal, Arnold Sommerfeld Inst Math Phys, D-38678 Clausthal Zellerfeld, Germany

来源：

PHYSICAL REVIEW A | 1998年 / 58卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.58.128

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Simple Hartree-type equations lead to dynamics of a subsystem that is not completely positive in the sense accepted in mathematical literature. In the linear case this would imply that negative probabilities have to appear for some system that contains the subsystem in question. In the nonlinear case this does not happen because the mathematical definition is physically unfitting as shown in a concrete example.

引用

页码：128 / 134

页数：7

共 51 条

[1] NONRELATIVISTIC QUANTUM-MECHANICS AS A NONCOMMUTATIVE MARKOV PROCESS [J].