WKB Approximation with Conformable Operator

Abstract

In this paper, the WKB method is extended to be applicable for conformable Hamiltonian systems where the concept of conformable operator with fractional order $\alpha$ is used. The WKB approximation for the $\alpha$-wavefunction is derived when the potential is slowly varying in space. The paper is furnished with some illustrative examples to demonstrate the method. The quantities of the conformable form are found to be inexact agreement with traditional quantities when $\alpha =1$.

References in corpus (1)

• A New Fractional Derivative with Classical Properties

Cited by in corpus (4)

• Analytic study of conformable Schrodinger equation with Hydrogen atom
• Solution of the Conformable Angular Equation of the Schrodinger Equation
• The solution of conformable Laguerre differential equation using conformable Laplace transform
• Quantization of the Bateman damping system with conformable derivative