Books by Alexander Komech

This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann-Hilbert problem.The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems.

Thoroughly classroom tested, this book applies scattering theory methods to modern problems within a variety of areas in advanced mathematics, quantum physics, and mathematical physics.

This book focuses on nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom, presenting quantum mechanics in a comprehensive yet accessible form for mathematicians and other non-physicists.