UNIFORM NONLINEAR EVOLUTION-EQUATIONS FOR PURE AND MIXED QUANTUM STATES

被引：30

作者：

DODONOV, VV

MIZRAHI, SS

机构：

[1] MOSCOW INST PHYS & TECHNOL,ZHUBOVISKIY 140160,RUSSIA

[2] PN LEBEDEV PHYS INST,MOSCOW 117924,RUSSIA

来源：

ANNALS OF PHYSICS | 1995年 / 237卷 / 02期

关键词：

D O I：

10.1006/aphy.1995.1010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a new class of nonlinear evolution equations, satisfying the homogeneity condition, for pure and mixed quantum states. These equations are generalizations of the nonlinear Schrodinger equation, recently proposed by Doebner and Goldin for the wave function written in positional coordinates. The new model is applied to investigate the relaxation processes in systems with equidistant spectra (spin and harmonic oscillator), both in discrete and continuous representations. (C) 1995 Academic Press, Inc.

引用

页码：226 / 268

页数：43

共 65 条

[1]

ARNOLD VI, 1974, MATH METHODS CLASSIC, P204

[2]

Belavin A. A., 1969, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, V56, P264

[3]

BIALYNICKIBIRUL.I, 1976, ANN PHYS-NEW YORK, V100, P62

[4] INFORMATION-THEORY AND NONLINEAR QUANTAL HAMILTONIANS [J].

CRESPO, G ;

OTERO, D ;

PLASTINO, A ;

PROTO, AN .

PHYSICAL REVIEW A, 1989, 39 (04) :2133-2140

[5]

DAVIES EB, 1976, QUANTUM THEORY OPEN, P83

[6] CLASSICAL AND QUANTUM-MECHANICS OF THE DAMPED HARMONIC-OSCILLATOR [J].

DEKKER, H .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1981, 80 (01) :1-112

[7]

Dodonov V V, 1985, GROUP THEORETICAL ME, V1, P591

[8] A NEW CLASS OF NONLINEAR GENERALIZATIONS OF THE SCHRODINGER-EQUATION [J].

DODONOV, VV ;

MIZRAHI, SS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (23) :7163-7168

[9] QUANTUM PHENOMENA IN NONSTATIONARY MEDIA [J].

DODONOV, VV ;

KLIMOV, AB ;

NIKONOV, DE .

PHYSICAL REVIEW A, 1993, 47 (05) :4422-4429

[10]

DODONOV VV, 1993, J KOREAN PHYS SOC, V26, P111

← 1 2 3 4 5 6 7 →