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A New Null-Plane Quantum Poincare Algebra

A. Ballesteros·F. J. Herranz·M. A. del Olmo·M. Santander
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Abstract

A new quantum deformation, which we call null-plane, of the (3+1) Poincaré 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 Schrödinger equation.

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A. Ballesteros, F. J. Herranz, M. A. del Olmo, M. Santander. 1995-02-28. A New Null-Plane Quantum Poincare Algebra. https://doi.org/10.1016/0370-2693(95)00386-y

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