The one-dimensional Schrödinger equation with symmetric trigonometric double-well
potential is exactly solved via angular prolate spheroidal function. Although it is inferior …

The exact solution of the one-dimensional Schrödinger equation with symmetric
trigonometric double-well potential (DWP) is obtained via angular oblate spheroidal …

We construct a double-well potential for which the Schrödinger equation can be exactly
solved via reducing to the confluent Heun's one. Thus the wave function is expressed via the …

Amorphous carbon (aC) films, having low secondary electron yield (SEY), are used at CERN
to suppress electron multipacting in the beam pipes of particle accelerators. It was already …

We present a multidomain spectral approach for Fuchsian ordinary differential equations in
the particular case of the hypergeometric equation. Our hybrid approach uses Frobenius' …

A novel strategy to applying the analytical solution of the Schrödinger equation via angular
prolate spheroidal (APS) function was developed. It provides a simple and accurate …

We consider a spherically symmetric (magnetic) SU (2) Yang–Mills field propagating on the
exterior of the extremal Reissner–Nordström black hole. Taking advantage of the conformal …

Investigating the existence of algebra and finding hidden symmetries in physical systems is
one of the most important aspects for understanding their behavior and predicting their …

The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role
in the comparison of predictions of general relativity with astrophysical observations of …

We consider equivariant wave maps from a fixed wormhole spacetime into the 3-sphere.
This toy model is designed for gaining insight into the dissipation-by-dispersion phenomena …