Abstract
Abstract
Ladder operators for the hyperbolic Rosen–Morse (RMII) potential are realized using the shape invariance property appearing, in particular, using supersymmetric quantum mechanics. The extension of the ladder operators to a specific class of rational extensions of the RMII potential is presented and discussed. Coherent states are then constructed as almost eigenstates of the lowering operators. Some properties are analyzed and compared. The ladder operators and coherent states constructions presented are extended to the case of the trigonometric Rosen–Morse (RMI) potential using a point canonical transformation.
Funder
Department of Physics of Université de Montréal
NSERC of Canada
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Reference66 articles.
1. A method of determining quantum-mechanical eigenvalues and eigenfunctions;Schrödinger;Proc. R. Ir. Acad. A,1940
2. New ‘coherent’ states associated with non-compact groups;Barut;Commun. Math. Phys.,1971
3. On the nonlinear generalization of the Fock method;Eleonsky;J. Phys. A: Math. Gen.,1995
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