Published January 2000 | Version v1
Journal article

Towards integrals of motion on noncommutative spaces - models on SLq(N) quantum planes

Creators

  • 1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Czestochowa (Poland)

Description

A subintegral on the SLq(N) quantum plane is used in the construction of integrals of motion for arbitrary linear equation. In this procedure the formulas for conserved currents obtained earlier for braided linear spaces are applied. As an example we study the wave equation on the N-dimensional quantum plane for which the symmetry operators are derived and the integrals of motion connected with symmetries of the equation are given in an explicit form. (author)

Additional details

Publishing Information

Journal Title
Czechoslovak Journal of Physics
Journal Volume
50
Journal Issue
1
Journal Page Range
p. 105-113
ISSN
0011-4626

Conference

Title
8. international colloquium on quantum groups 'Quantum groups and integrable systems'
Dates
17-19 Jun 1999
Place
Prague (Czech Republic)

INIS

Country of Publication
Czech Republic
Country of Input or Organization
Czech Republic
INIS RN
31026991
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COMMUTATION RELATIONS; CONSERVATION LAWS; INTEGRALS; ITERATIVE METHODS; MINKOWSKI SPACE; QUANTIZATION; QUANTUM OPERATORS; SYMMETRY; WAVE EQUATIONS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; SPACE

Optional Information

Notes
7 refs.