Most of the theoretical physics known today is described by using a small number of
differential equations. For linear systems, different forms of the hypergeometric or the …

In this work we have studied the Shannon information entropy for two hyperbolic single-well
potentials in the fractional Schrödinger equation (the fractional derivative number (0< n≤ 2) …

We use the ansatz method to obtain the symmetric and antisymmetric solutions of a
hyperbolic double‐well potential by solving the Heun differential equation. The Shannon …

In ground-based experiments with complex (dusty) plasmas, charged microparticles are
levitated against gravity by an electric field, which also drives ion flow in the parent gas …

Relativistic massless charged particles in a two-dimensional conductor can be guided by a
one-dimensional electrostatic potential, in an analogous manner to light guided by an …

In this work a new scheme is proposed to study the exact solutions of another class of
hyperbolic potentials U p. We first obtain two linearly dependent eigenfunctions …

The current-voltage characteristics of a new range of devices built around Weyl semimetals
has been predicted using the Landauer formalism. The potential step and barrier have been …

We show how it is possible to trap two-dimensional massless Dirac fermions in spatially
inhomogeneous magnetic fields, as long as the formed magnetic quantum dot (or ring) is of …

We present a new, large-deviation approach to investigate the critical properties of the
Anderson model on the Bethe lattice close to the localization transition in the thermodynamic …

We use supersymmetry transformations to obtain new one parameter families of
inhomogeneous magnetic fields $\boldsymbol {B}=\widetilde {\mathcal {B}}(x,\lambda)\hat …