Problems in Quantum Mechanics and Field Theory with Mathematical Modelling

In Problems in Quantum Mechanics and Field Theory with Mathematical Modelling, a number of exactly solvable problems in electrodynamics and in quantum-mechanics of particles with different spins are presented.

The main topics covered include: the Cox scalar particle with intrinsic structure in presence of the magnetic field in the spaces of constant curvature, Euclid, Riemann, and Lobachevsky; Cox particle in the Coulomb field; tunneling effect through Schwarzschild barrier for a spin 1/2 particle; electromagnetic field in Schwarzschild space-time, the Majorana - Oppenheimer approach in electrodynamics; scalar particle with polarizability in the Coulomb field; Dirac particle in the Coulomb field on the background of hyperbolic Lobachevsky and spherical Riemann models; particle with spin 1 in the Coulomb field; geometrical modeling of the media in Maxwell electrodynamics; P-asymmetric equation for a spin 1/2 particle; fermion with two mass parameters in the Coulomb field; helicity operator for a spin 2 particle in presence of the magnetic field.

The book will be of interest to researchers, and is accessible enough to serve as a self-study resources for courses at undergraduate and graduate levels.

Aleksander V. Chichurin is a Professor at The John Paul II Catholic University of Lublin, Poland. His research interests currently span differential equations, mathematical modelling, computer algebra systems.

Elena M. Ovsiyuk is currently head of Theoretical Physics and Applied Informatics at Mozyr State Pedagogical University in Belarus. Her current research areas include elementary particles with spin in external electromagnetic and gravitational fields.

Viktor M. Red’kov is Chief Researcher for the Institute of Physics at the National Academy of Sciences of Belarus. His primary fields of research include elementary particles with spin in external electromagnetic and gravitational fields.