This repository contains Python code for the WKB (Wentzel-Kramers-Brillouin) approximation, which is a method used in quantum mechanics to approximate wave functions in regions where they vary slowly.

Department of Applied Physics, Tafila Technical University, Tafila, Jordan. The quantization of constrained systems has been started by Dirac [1] . The quantization of constrained systems has been ...

The minimum-uncertainty coherent states empirically provide an approximation to the motion of a classical particle. This can be understood conceptually. One can obtain a relationship between the WKB ...

We show how to slove the one-dimensional two-turning-point eigenvalue problem for analytic potentials to all orders in the WKB approximation. We use this method to compute the eigenvalues of the xN (N ...

Abstract: Layered superconductors represent unusual materials that invoke the interest of many researchers. To describe electrodynamics in layered superconductors, well-known coupled sine-Gordon ...

Abstract: In this note we present a powerful new approach to the analysis of a class of linear, degenerate gradient flow systems that frequently arise in adaptive control and system identification.

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Asymptotic eigenvalues and eigenfunctions for the Orr-Sommerfeld equation in two-dimensional and three-dimensional incompressible flows on an infinite domain and on a semi-infinite domain are obtained ...