dorsal/arxiv
View SchemaA New Null-Plane Quantum Poincare Algebra
| Authors | A. Ballesteros, F. J. Herranz, M. A. del Olmo, M. Santander |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9502019 |
| URL | https://arxiv.org/abs/q-alg/9502019 |
| DOI | 10.1016/0370-2693(95)00386-Y |
| Journal | Phys.Lett. B351 (1995) 137-145 |
Abstract
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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"abstract": "A new quantum deformation, which we call null-plane, of the (3+1) Poincar\\\u0027e\nalgebra is obtained. The algebraic properties of the classical null-plane\ndescription are generalized to this quantum deformation. In particular, the\nclassical isotopy subalgebra of the null-plane is deformed into a Hopf\nsubalgebra, and deformed spin operators having classical commutation rules can\nbe defined. Quantum Hamiltonian, mass and position operators are studied, and\nthe null-plane evolution is expressed in terms of a deformed Schr\\\"odinger\nequation.",
"arxiv_id": "q-alg/9502019",
"authors": [
"A. Ballesteros",
"F. J. Herranz",
"M. A. del Olmo",
"M. Santander"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1016/0370-2693(95)00386-Y",
"journal_ref": "Phys.Lett. B351 (1995) 137-145",
"title": "A New Null-Plane Quantum Poincare Algebra",
"url": "https://arxiv.org/abs/q-alg/9502019"
},
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