Application of the fractional calculus to quantum processes is presented. In particular, the
quantum dynamics is considered in the framework of the fractional time Schrödinger …

The linear combination of atomic orbitals (LCAO) is a standard method for studying solids
and molecules, it is also known as the tight-binding (TB) method. In most of the …

We investigate the solutions for a time-dependent potential by considering two scenarios for
the fractional Schrödinger equation. The first scenario analyzes the influence of the time …

In the paper, we first propose a Crank-Nicolson Galerkin-Legendre (CN-GL) spectral
scheme for the one-dimensional nonlinear space fractional Schrödinger equation …

We investigate a time-dependent Schrödinger-like equation in presence of a nonlocal term
by using the method of variable separation and the Green function approach. We analyze …

We investigate an extension of the Schrödinger equation by considering a fractional
differential operator for the spatial variable, which simultaneously takes the heterogeneity of …

We investigate, for an arbitrary initial condition, the time dependent solutions for a fractional
Schrödinger equation in the presence of delta potentials by using the Green function …

Abstract The extended Aharonov–Bohm electrodynamics has a simple formal structure and
allows to couple the em field also to currents which are not locally conserved, like those …

We investigate a three-level system in the context of the fractional Schrödinger equation by
considering fractional differential operators in time and space, which promote anomalous …

Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials
Page 1 Modern Physics Letters A Vol. 36, No. 14 (2021) 2140004 (23 pages) © World Scientific …