Fields of Particles with Spin, Theory and Applications

The present book is devoted to the study of particles with spins in external fields and non-Euclidean space-time background. The key problems are: Coulomb task for a spin 1/2 particle and Heun equation; the hydrogen atom in de Sitter space; the fermion doublet in the non-Abelian monopole field and Pauli approximation; Pauli approximation for spin 1/2 and 1 particles in de Sitter space; the Dirac and Majorana particles in Schwarzschild space; the Dirac - Maxwell fields and spinor space structure; particles with spin 3/2, solutions with different symmetries and eliminating the gauge degrees of freedom in massless case; the matrix 30-component equation for a spin 2 field in Riemannian space-time; Finslerian geometzization of physical problems. The book may be of interest to researchers. It may serve as a pedagogical tool for either self-study or in courses at both the undergraduate and graduate level.