Quantum information entropy of modified Hylleraas plus exponential Rosen Morse potential and squeezed states |
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Authors: | Pooja Aarti Sharma Rama Gupta Anil Kumar |
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Affiliation: | 1. Department of Physics, JC DAV College (Panjab University), Dasuya 144205, Punjab, India;2. Department of Physics, DAV University, Jalandhar, Punjab, India;3. Department of Physics, SGGS Khalsa College (Panjab University), Mahilpur 146105, Punjab, India |
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Abstract: | In this article, some information theoretic concepts are analyzed for modified Hylleraas plus exponential Rosen Morse potential in position and momentum space. The angular and radial contributions of the information density are graphically demonstrated for different states. The entropy densities have asymmetric shape which depends on the values of quantum numbers. The information entropy is analytically obtained for ground state of the potential whereas the numerical calculations have been performed for the higher states and Bialynicki‐Birula and Mycielski inequality is tested for various states using different parameters of the potential. It is shown that the information entropy is reduced, both in position and momentum space, for careful selection of some parameters. Further, it is found that there exist eigenstates exhibiting squeezing in information entropy of modified Hylleraas plus exponential Rosen Morse and Eckart potential. Interestingly, in case of Eckart potential, the squeezed states are obtained in position as well as momentum space and are attempted to saturate for some values of the parameters. |
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Keywords: | Bialynicki‐Birula and Mycielski inequality information entropy squeezed states |
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