A New Null-Plane Quantum Poincare Algebra

Details A New Null-Plane Quantum Poincare Algebra A New Null-Plane Quantum Poincare Algebra

1995-02-28

arxiv.org/abs/q-alg/9502019v1

Phys.Lett. B351 (1995) 137-145

Mathematics

Quantum Algebra

13 pages, LaTeX

Scientific paper

10.1016/0370-2693(95)00386-Y

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.

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