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A New Null-Plane Quantum Poincare Algebra

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arxiv q-alg/9502019 v1 pith:5JOEAAN7 submitted 1995-02-28 q-alg math.QA

A. Ballesteros , F.J. Herranz , M.A. del Olmo , M. Santander This is my paper · ORCID
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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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  1. Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces

    math-ph 2019-09 conditional novelty 6.0 of 10

    Coreductivity and cosymmetry of a Lie bialgebra are defined and shown to characterize when the complementary dual homogeneous space is reductive or symmetric, with applications to κ-deformed Lorentzian spacetimes.

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