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.

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Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

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