Published February 1981 | Version v1
Journal article

Group analysis of a system of nonlinear differential equations equivalent to the Schroedinger equation

  • 1. AN Ukrainskoj SSR, Kiev. Inst. Matematiki

Description

A maximal local group invariance of a nonlinear equation system equivalent to Schroedinger equation is found. This system is invariant relatively to 14-parametric Lee group. The invariance group is not changed in h/2π→0 limiting case. A stationary case and a case of constant amplitude are studied additionally

Additional details

Additional titles

Original title (Russian)
Групповой анализ нелинейных систем дифференциальных уравнений, связанных с уравнением Шредингера

Publishing Information

Journal Title
Ukr. Fiz. Zh.
Journal Volume
26
Journal Issue
2
Series
Ukr. Fiz. Zh.
Journal Page Range
323-326
ISSN
0503-1265

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
13654565
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
HAMILTON-JACOBI EQUATIONS; INVARIANCE PRINCIPLES; LIE GROUPS; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; SYMMETRY GROUPS

Optional Information

Notes
For English translation see the journal Ukrainian Physics Journal (USA).