Coordinate Realizations of Deformed Lie Algebras with Three Generator

Authors

Ranabir Dutt, Visva Bharati University
Asim Gangopadhyaya, Loyola University ChicagoFollow
C. Rasinariu, Columbia College Chicago
Uday P. Sukhatne, University of Illinois at ChicagoFollow

Document Type

Article

Publication Date

11-1999

Publication Title

Physical Review A

Volume

60

Issue

3482

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

Comments

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.

Recommended Citation

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.

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Copyright Statement

© 1999 The American Physical Society.