Analytic study of conformable Schrodinger equation with Hydrogen atom

Abstract

In this paper, the conformable Schrodinger equation for hydrogen atom with given conformable potential is solved. The conformable wave functions and energy levels are obtained, and the traditional energy levels and wave function for hydrogen atom are recovered when $\alpha =1$. The probability density for the first three levels and different values of $\alpha$ is plotted. It is observed that the probability density gradually convert from $\alpha =0.5$ to $\alpha =1$ for all levels.

References in corpus (2)

• Fractional Hamilton formalism within Caputo's derivative
• WKB Approximation with Conformable Operator

Cited by in corpus (2)

• Quantization of the Bateman damping system with conformable derivative
• Solving conformable Gegenbauer differential equation and exploring its generating function