A New Null-Plane Quantum Poincare Algebra
q-alg
2009-10-28 v1 量子代数
摘要
A new quantum deformation, which we call null-plane, of the (3+1) Poincar\'e algebra is obtained. The algebraic properties of the classical null-plane description are generalized to this quantum deformation. In particular, the classical isotopy subalgebra of the null-plane is deformed into a Hopf subalgebra, and deformed spin operators having classical commutation rules can be defined. Quantum Hamiltonian, mass and position operators are studied, and the null-plane evolution is expressed in terms of a deformed Schr\"odinger equation.
引用
@article{arxiv.q-alg/9502019,
title = {A New Null-Plane Quantum Poincare Algebra},
author = {A. Ballesteros and F. J. Herranz and M. A. del Olmo and M. Santander},
journal= {arXiv preprint arXiv:q-alg/9502019},
year = {2009}
}
备注
13 pages, LaTeX