A NEW NULL-PLANE QUANTUM POINCARE ALGEBRA

Citation
A. Ballesteros et al., A NEW NULL-PLANE QUANTUM POINCARE ALGEBRA, Physics letters. Section B, 351(1-3), 1995, pp. 137-145
Citations number
13
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
351
Issue
1-3
Year of publication
1995
Pages
137 - 145
Database
ISI
SICI code
0370-2693(1995)351:1-3<137:ANNQPA>2.0.ZU;2-M
Abstract
A new quantum deformation, which we call null-plane, of the (3+1) Poin care algebra is obtained. The algebraic properties of the classical nu ll-plane description are generalized to this quantum deformation. In p articular, the classical isotopy subalgebra of the null-plane is defor med into a Hopf subalgebra, and deformed spin operators having classic al commutation rules can be defined. Quantum Hamiltonian, mass and pos ition operators are studied, and the null-plane evolution is expressed in terms of a deformed Schrodinger equation.