We introduce and discuss the one-dimensional Lévy crystal as a probable candidate for an
experimentally accessible realization of space-fractional quantum mechanics (SFQM) in a …

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 …

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 traveling Gaussian wave packet transport through a rectangular quantum
barrier of lévy crystals in fractional quantum mechanics formalism. We study both standard …

We present new results for time-independent solutions for a Schrödinger equation with
noninteger dimension by considering different, harmonic and anharmonic, forms for the …

We study the dynamics of Fermi-Pasta-Ulam (FPU) chains with both harmonic and
anharmonic power-law long-range interactions. We show that the dynamics is described in …

In relativistic quantum field theory with local interactions, charge is locally conserved. This
implies local conservation of probability for the Dirac and Klein–Gordon wavefunctions, as …

We study the time-space fractional Schrödinger equation with a nonlocal potential. By the
method of Fourier transform and Laplace transform, the Green function, and hence the wave …

We investigate a generalized two-dimensional time-dependent Schrödinger equation on a
comb with a memory kernel. A Dirac delta term is introduced in the Schrödinger equation so …

Although standard quantum mechanics has some non-local features, the probability current
of the Schrödinger equation is locally conserved, and this allows minimal electromagnetic …