Phys. Rev. A 60, 3482–3486 (1999)

Coordinate realizations of deformed Lie algebras with three generators

Abstract

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R. Dutt^1,*, A. Gangopadhyaya^2,†, C. Rasinariu^3,‡, and U. Sukhatme^3,§
¹Department of Physics, Visva Bharati University, Santiniketan, India
²Department of Physics, Loyola University Chicago, Chicago, Illinois 60626
³Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60607

Received 8 June 1999; published in the issue dated November 1999

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.60.3482

DOI:

10.1103/PhysRevA.60.3482

PACS:

03.65.Fd

^*Electronic address: rdutt@vbharat.ernet.in

^†Electronic address: agangop@luc.edu, asim@uic.edu

^‡Electronic address: costel@uic.edu

^§Electronic address: sukhatme@uic.edu

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Phys. Rev. A 60, 3482–3486 (1999)

Coordinate realizations of deformed Lie algebras with three generators