We investigate the nonlocal dynamics of a single particle placed in an infinite well with
moving walls. It is shown that in this situation, the Schrödinger equation (SE) violates local …

Within the so-called scaled quantum theory, the standard bouncing ball problem is analyzed
under the presence of a gravitational field and harmonic potential. In this framework, the …

We derive approximate analytical solutions for a particle in a homogenous gravitational field
and confined between two independently vibrating mirrors. This constitutes an extension of …

Solutions to the Schrödinger equation are examined for a particle inside a cylindrical trap of
a circular time-dependent cross-section. Analytical expressions for energy and momentum …

Trajectories of a Bohmian particle confined in time-dependent cylindrical and spherical traps
are computed for both contracting and expanding boxes. A quantum effective force is …

It is very important which the Hamiltonian of the quantum system is time changing, especially
the potential well that its width can change, the schrodinger equation and klein Gordon …

We consider a particle confined in a uniformly expanding two-dimensional square box from
the point of the view of the de Broglie-Bohm pilot-wave theory. In particular we study …

Motile and proliferative cell populations in growing tissues are a common feature of
mammalian embryonic development. The aim of the work presented in this thesis is to …