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Updated: Jul 21, 2025

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Quantum Information Entropy for a Hyperbolic Double Well Potential in the Fractional Schrödinger Equation

R Santana-Carrillo1, J M Velázquez Peto2, Guo-Hua Sun1

  • 1Centro de Investigación en Computación, Instituto Politécnico Nacional, UPALM, Mexico City 07700, Mexico.

Entropy (Basel, Switzerland)
|July 29, 2023
PubMed
Summary

This study explores Shannon entropy in the fractional Schrödinger equation for a hyperbolic double well potential. Decreasing fractional derivative localizes position entropy while delocalizing momentum entropy, with their sum increasing.

Keywords:
Fisher entropyShannon entropyfractional Schrödinger equationhyperbolic double well potential

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