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

Authors
Klimek, M
Citation
M. Klimek, Towards integrals of motion on noncommutative spaces - Models on SLq(N) quantum planes, CZEC J PHYS, 50(1), 2000, pp. 105-113
Citations number
9
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
50
Issue
1
Year of publication
2000
Pages
105 - 113
Database
ISI
SICI code
0011-4626(200001)50:1<105:TIOMON>2.0.ZU;2-Y
Abstract
A subintegral on the SLq(N) quantum plane is used in the construction of in tegrals of motion for arbitrary linear equation. In this procedure the form ulas 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 c onnected with symmetries of the equation are given in an explicit form.