Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

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...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2021-11, Vol.54 (47), p.475201
Main Authors: Garneau-Desroches, S, Hussin, V
Format: Article
Language:English
Subjects:
coherent states
ladder operators
rational extensions
Rosen–Morse
supersymmetric quantum mechanics
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Summary: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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ac2549