Coordinate Realizations of Deformed Lie Algebras with Three Generators

Details Coordinate Realizations of Deformed Lie Algebras with Three Generators Coordinate Realizations of Deformed Lie Algebras with Three Generators

1999-04-07

arxiv.org/abs/hep-th/9904052v1

Phys.Rev. A60 (1999) 3482-3486

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 0 figures

Scientific paper

10.1103/PhysRevA.60.3482

Differential realizations in coordinate space for deformed Lie algebras with three generators are obtained using bosonic creation and annihilation operators satisfying Heisenberg commutation relations. The unified treatment presented here contains as special cases all previously given coordinate realizations of $so(2,1),so(3)$ and their deformations. Applications to physical problems involving eigenvalue determination in nonrelativistic quantum mechanics are discussed.

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