Formation of quantum vortices in a rotating sphere in an electromagnetic field

Vortexes in three dimensional systems are an emerging topic of study in the realm of quantum physics, particle physics and magnetism. In this study we describe a new Hamiltonian, and solve it numerically for the description of vortices in a spherical model subjected to an electromagnetic field. The numerical analysis shows also that supersymmetric Hamiltonian describes quantized orbitals for atomic systems with vorticity included, which is to our knowledge novel and also describes electricity as composed of quasi-symmetric vortex bundles. Further work on analytical solutions is under development. The 3D solutions of the Hamiltonian are relevant for nuclear physics, in the physics of elementary particles, in geophysics, and in the physics of stellar bodies.Modeling of quantum vorticity and turbulence in two- and three-dimensional systems