Coordinate Realizations of Deformed Lie Algebras with Three Generators

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.

11 pages, 0 figures

Cited by in corpus (7)

• PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials
• Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras
• New Solvable Singular Potentials
• Solutions to the Painlevé V equation through supersymmetric quantum mechanics
• Analytic Expression for Exact Ground State Energy Based on an Operator Method for a Class of Anharmonic Potentials
• Algebraic Shape Invariant Potentials as the Generalized Deformed Oscillator
• Multiphoton supercoherent states