Dirac Equation

§Hier liegt erstmals ein Buch vor, das allein der für die moderne Physik so zentralen Dirac'schen Gleichung gewidmet ist. Es berücksichtigt die moderne Forschung in Mathematik und Physik und vermittelt tiefe Einsichten in die Quantentheorie. Das Buch richtet sich an Fachleute in der mathematische Analysis und in der Quantentheorie, daneben ist es auch sehr gut für weiterführende Lehrveranstaltungen geeignet. The Dirac Equation is a modern presentation of the relativistic quantum mechanics of electrons intended to make new mathematical results accessible to a wider audience. It treats in some depth the relativistic invariance of a quantum theory, self-adjointness and spectral theory, qualitative features of relativistic bound and scattering states, and the external field problem in quantum electrodynamics, without neglecting the interpretational difficulties and limitations of the theory. A novel feature is the extensive use of supersymmetric quantum mechanics in the discussions of, e.g. the nonrelativistic limit, Fredholm and Witten indices, the relativistic Coulomb problem, particles with anomalous moments, behaviour in the presence of magnetic fields, and soliton theory. §The book is aimed at scientists and graduate students interested in quantum mechanics who want to learn about the mathematical foundations, the physical interpretation and important applications of Dirac's electron theory.