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arxiv: q-alg/9502019 · v1 · submitted 1995-02-28 · q-alg · math.QA

A New Null-Plane Quantum Poincare Algebra

classification q-alg math.QA
keywords null-planequantumclassicaldeformedalgebradeformationoperatorssubalgebra
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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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