arXiv subjects

F. A. Serrano

Publications and source records attributed to F. A. Serrano.

2 recordsLinked to original sources

arXiv2018

Semi-exact solutions of the Razavy potential

In this work we study the quantum system with the symmetric Razavy potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun functions. The eigenvalues have to be calculated numerically. The properties of the wave functions depending on $m$ are illustrated graphically for a given potential parameter $ξ$. We find that the even and odd wave functions with definite parity are changed to odd and even wave functions when the potential parameter $m$ increases. This arises from the fact that the parity, which is a defined symmetry for very small $m$, is completely violated for large $m$. We also notice that the energy levels $ε_{i}$ decrease with the increasing potential parameter $m$.

quant-ph↗

arXiv2015

Fisher's information for the position-dependent mass Schrödinger system

This study presents the Fisher information for the position-dependent mass Schrödinger equation with hyperbolical potential {$V(x)=-V_0{\rm csch}^2(ax)$}. The analysis of the quantum-mechanical probability for the ground and exited states $(n=0, 1, 2)$ has been obtained via the Fisher's information. This controls both chemical and physical properties of some molecular systems. The Fisher information is considered only for $x>0$ due to the singular point at $x=0$. We found that Fisher-information-based uncertainty relation and the Cramer-Rao inequality holds. Some relevant numerical results are presented. The results presented shows that the Cramer-Rao and the Heisenberg products in both spaces provide a natural measure for anharmonicity of {$-V_0{\rm csch}^2(ax)$}

quant-ph↗