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Full Description
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.
Contents
1 Cox scalar particle in the magnetic field in the Lobachevsky space
2 Cox scalar particle in magnetic field, the spherical space
3 Cox particle in the Coulomb field
4 Cox particle in the Coulomb field
5 On Maxwell equations in Schwarzschild space-time
6 Particle with polarisability in the Coulomb field
7 Dirac particle in the Coulomb field in curved models
8 Particle with spin 1 in the Coulomb field
9 Geometrical modeling of the media in electrodynamics
10 P-asymmetric equation for a spin 1/2 particle in external fields
11 Fermion with two mass parameters in the Coulomb field
12 On modeling neutrinos oscillations by geometry methods
13 Helicity operator for a spin 2 particle in magnetic field
