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Information theory and thermodynamic properties for a combined potential model
C A Onate1, B B Deji-Jinadu2, O O Ajani2
1Physics Department, Bowen University Iwo, Osun State, Iwo, Nigeria. clement.onate@bowen.edu.ng.
Scientific Reports
|January 21, 2025
Summary
This study explores the combined Yukawa and Hulthen potentials, analyzing thermodynamic properties and information measures. The Hulthen potential
Area of Science:
- Quantum Mechanics
- Mathematical Physics
Background:
- Yukawa and Hulthen potentials are widely used models in physics.
- Understanding their combined behavior is crucial for various applications.
Purpose of the Study:
- To investigate the theoretical measures and thermodynamic properties of combined Yukawa and Hulthen potentials.
- To analyze the impact of screening parameters and temperature on these properties.
Main Methods:
- Theoretical analysis of energy levels and wave functions for combined potentials.
- Examination of Fisher information and Shannon entropy.
- Study of thermodynamic properties under varying screening parameters and temperatures.
Main Results:
- The temperature effect on the combined potential is equivalent to the Hulthen potential but differs for the Yukawa potential.
- Fisher information and Shannon entropy satisfy fundamental inequalities (Heisenberg, Cramer-Rao, Bialynick-Birula, Mycielski).
- Shannon entropy indicates system stability at low screening parameters, with Hulthen potential dominance over Yukawa in the combination.
Conclusions:
- The combined potential exhibits unique thermodynamic behaviors influenced by screening and temperature.
- The study confirms the validity of information-theoretic inequalities for these potentials.
- The findings provide insights into the interplay of different potential models in quantum systems.
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