期刊
EUROPEAN PHYSICAL JOURNAL D
卷 76, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1140/epjd/s10053-022-00395-6
关键词
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In this study, we investigated the bound states and quantum theoretic-information measurements of an alpha-deformed Kratzer-type potential. The results showed that the potential parameters strongly influence the localization and delocalization of the position of a nano particle.
In this work, we studied the bound states and quantum theoretic-information measurements of an alpha-deformed Kratzer-type potential with the Schrodinger equation. The ground state wave function in position-momentum spaces and the energy spectra equations for arbitrary quantum numbers are obtained in closed-form via the super-symmetric WKB method and Fourier transform. The obtained energy equation is bounded and reduces to the molecular Kratzer-type energy and the hydrogenic Coulomb's energy upon proper adjustment of potential parameters. The wave function was used to obtain the Fisher, Shannon, Renyi and Tsallis theoretic-information measures numerically. Our results for the information measures obey the local Fisher inequality and the Bialynicki-Birula-Mycielski inequality. The Renyi and Tsallis entropies in position-momentum spaces were obtained for the index number q = 0.5 and q = 2 as a function of the potential parameter. The results of the theoretic-information quantities and probability densities revealed that the potential parameters strongly influence the localization and delocalization of the position of a nano particle.
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