Quantum information for a solitonic particle with hyperbolic interaction
Quantum Physics
2021-11-04 v1
Abstract
In this work, we analyze a particle with position-dependent mass, with solitonic mass distribution in a stationary quantum system, for the particular case of the BenDaniel-Duke ordering, in a hyperbolic barrier potential. The kinetic energy ordering of BenDaniel-Duke guarantees the hermiticity of the Hamiltonian operator. We find the analytical solutions of the Schr\"odinger equation and their respective quantized energies. In addition, we calculate the Shannon entropy and Fisher information for the solutions in the case of the lowest energy states of the system.
Keywords
Cite
@article{arxiv.2111.01941,
title = {Quantum information for a solitonic particle with hyperbolic interaction},
author = {A. R. P. Moreira},
journal= {arXiv preprint arXiv:2111.01941},
year = {2021}
}
Comments
22 pages, 26 figures