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Coordinate Realizations of Deformed Lie Algebras with Three Generator
Physical Review A
  • Ranabir Dutt, Visva Bharati University
  • Asim Gangopadhyaya, Loyola University Chicago
  • C. Rasinariu, Columbia College Chicago
  • Uday P. Sukhatne, University of Illinois at Chicago
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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.

Author Posting. © The American Physical Society, 1999. This is posted here by permission of The American Physical Society for personal use, not for redistribution. It was published in Physical Review A 60, 3482, 1999

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Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
Citation Information
Dutt, R., A. Gangopadhyaya, C. Rasinariu, and U. Sukhatme. “Coordinate Realizations of Deformed Lie Algebras with Three Generators.” Physical Review A 60, no. 5 (November 1, 1999): 3482–86. doi:10.1103/PhysRevA.60.3482.