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Quantum information entropies for an asymmetric trigonometric Rosen–Morse potential |
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| Authors: | Guo‐Hua Sun Shi‐Hai Dong Nasser Saad |
| Institution: | 1. Centro Universitario Valle de Chalco, Universidad Autónoma del Estado de México, Valle de Chalco Solidaridad, , 56615 México;2. Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, , Edificio 9, D.F., 07738 Mexico;3. Department of Mathematics and Statistics, University of Prince Edward Island, , Charlottetown, PEI, Canada, C1A 4P3 |
| Abstract: | Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric Rosen–Morse potential for the ground and first excited states is evaluated. The position and momentum information entropies  and  are calculated numerically. Also, it is found that  is obtained analytically and increases with the potential depth and width. Some interesting features of the information entropy densities  and  are demonstrated graphically. The Bialynicki‐Birula–Mycielski inequality is also tested and found to hold good. |
| Keywords: | bound states quantum information entropy asymmetric trigonometric Rosen– Morse potential |