Coordinate Realizations of Deformed Lie Algebras with Three Generator

Ranabir Dutt; Asim Gangopadhyaya; C. Rasinariu; Uday P. Sukhatne

doi:10.1103/PhysRevA.60.3482

Coordinate Realizations of Deformed Lie Algebras with Three Generator

Ranabir Dutt
, Asim Gangopadhyaya
, C. Rasinariu
, Uday P. Sukhatne

Department of Physics

Visva Bharati University
Columbia College Chicago
University of Illinois at Chicago

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	60
Issue number	3482
DOIs	https://doi.org/10.1103/PhysRevA.60.3482
State	Published - Nov 1 1999

Keywords

Lie algebras

Disciplines

Physics

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Coordinate Realizations of Deformed Lie Algebras with Three GenerFinal published version, 126 KBLicense: Unspecified

Cite this

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title = "Coordinate Realizations of Deformed Lie Algebras with Three Generator",

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.",

keywords = "Lie algebras",

author = "Ranabir Dutt and Asim Gangopadhyaya and C. Rasinariu and Sukhatne, \{Uday P.\}",

note = "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.",

year = "1999",

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T1 - Coordinate Realizations of Deformed Lie Algebras with Three Generator

AU - Dutt, Ranabir

AU - Gangopadhyaya, Asim

AU - Rasinariu, C.

AU - Sukhatne, Uday P.

N1 - 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.

PY - 1999/11/1

Y1 - 1999/11/1

N2 - 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.

AB - 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.

KW - Lie algebras

UR - https://ecommons.luc.edu/physics_facpubs/15

U2 - 10.1103/PhysRevA.60.3482

DO - 10.1103/PhysRevA.60.3482

M3 - Article

VL - 60

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

IS - 3482

ER -

Coordinate Realizations of Deformed Lie Algebras with Three Generator

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Keywords

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