Article
Coordinate Realizations of Deformed Lie Algebras with Three Generator
Physical Review A
Document Type
Article
Publication Date
11-1-1999
Disciplines
Abstract
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.
Identifier
10.1103/PhysRevA.60.3482
Creative Commons License
Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
Copyright Statement
© 1999 The American Physical Society.
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.
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 http://dx.doi.org/10.1103/PhysRevA.60.3482.