DISSIPATIVE QUANTUM-MECHANICS - A SPECIAL DOEBNER-GOLDIN EQUATION, ITS PROPERTIES AND EXACT-SOLUTIONS

被引：15

作者：

USHVERIDZE, AG ^{[1
]}

机构：

[1] GEORGIAN PHYS INST, 380077 TBILISI, GEORGIA

来源：

PHYSICS LETTERS A | 1994年 / 185卷 / 02期

关键词：

D O I：

10.1016/0375-9601(94)90834-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is demonstrated that there exists a physically reasonable nonlinear Schrodinger equation having the same set of stationary solutions as the corresponding linear equation. It can be viewed as a special limiting case of the Doebner-Goldin equations. Its nonstationary solutions describe dissipative processes. Some exact dissipative solutions are constructed.

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页码：123 / 127

页数：5

相关论文

共 11 条

[1]

ANGERMANN B, 1983, LECT NOTES MATH, V1037, P171

[2] NONLINEAR-WAVE MECHANICS [J].

BIALYNICKIBIRULA, I ;

MYCIELSKI, J .

ANNALS OF PHYSICS, 1976, 100 (1-2) :62-93

[3] ON A GENERAL NONLINEAR SCHRODINGER-EQUATION ADMITTING DIFFUSION CURRENTS [J].

DOEBNER, HD ;

GOLDIN, GA .

PHYSICS LETTERS A, 1992, 162 (05) :397-401

[4]

DOEBNER HD, IN PRESS 1ST P GERM, P116

[5] NEUTRON OPTICAL TESTS OF NON-LINEAR WAVE MECHANICS [J].

GAHLER, R ;

KLEIN, AG ;

ZEILINGER, A .

PHYSICAL REVIEW A, 1981, 23 (04) :1611-1617

[6] DIFFEOMORPHISM-GROUPS, GAUGE GROUPS, AND QUANTUM-THEORY [J].

GOLDIN, GA ;

MENIKOFF, R ;

SHARP, DH .

PHYSICAL REVIEW LETTERS, 1983, 51 (25) :2246-2249

[7] RELATIVISTIC MODELS OF NON-LINEAR QUANTUM-MECHANICS [J].

KIBBLE, TWB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 64 (01) :73-82

[8] NONLINEAR SCHRODINGER-TYPE FIELD EQUATION FOR THE DESCRIPTION OF DISSIPATIVE SYSTEMS .3. FRICTIONALLY DAMPED FREE MOTION AS AN EXAMPLE FOR AN APERIODIC MOTION [J].

SCHUCH, D ;

CHUNG, KM ;

HARTMANN, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (10) :3086-3092

[9] PROPOSED NEUTRON INTERFEROMETER TEST OF SOME NON-LINEAR VARIANTS OF WAVE MECHANICS [J].

SHIMONY, A .

PHYSICAL REVIEW A, 1979, 20 (02) :394-396

[10] SEARCH FOR A NON-LINEAR VARIANT OF THE SCHRODINGER-EQUATION BY NEUTRON INTERFEROMETRY [J].

SHULL, CG ;

ATWOOD, DK ;

ARTHUR, J ;

HORNE, MA .

PHYSICAL REVIEW LETTERS, 1980, 44 (12) :765-768