Relativistic Quantum Mechanics. Wave Equations

ISBN-13: 9783540674573 / Angielski / Miękka / 2000 / 424 str.

Walter Greiner; W. Greiner; D. a. Bromley

Opis

Relativistic Quantum Mechanics. Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.
This third edition has been slightly revised to bring the text up-to-date.

Spis treści

1. Relativistic Wave Equation for Spin-0 Particles: The Klein—Gordon Equation and Its Applications.- 2. A Wave Equation for Spin-½ Particles: The Dirac Equation.- 3. Lorentz Covariance of the Dirac Equation.- 4. Spinors Under Spatial Reflection.- 5. Bilinear Covariants of the Dirac Spinors.- 6. Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations.- 7. Projection Operators for Energy and Spin.- 8. Wave Packets of Plane Dirac Waves.- 9. Dirac Particles in External Fields: Examples and Problems.- 10.The Two-Centre Dirac Equation.- 11. The Foldy-Wouthuysen Representation for Free Particles.- 12. The Hole Theory.- 13. Klein’s Paradox.- 14. The Weyl Equation — The Neutrino.- 15. Wave Equations for Particles with Arbitrary Spins.- 16. Lorentz Invariance and Relativistic Symmetry Principles.

O autorze

Prof. Dr. rer. nat. Dr. h. c. mult. Walter Greiner, geb. Oktober 1935 im Thüringer Wald, Promotion 1961 in Freiburg im Breisgau, 1962-64 Assistent Professor an der University of Maryland, seit 1964/65 ordentlicher Professor für Theoretische Physik der Johann Wolfgang Goethe-Universität Frankfurt am Main und Direktor des Instituts für Theoretische Physik. Gastprofessuren unter anderem an der Florida State University, University of Virginia, Los Alamos Scientific Laboratory, University of California Berkeley, Oak Ridge National Laboratory, University of Melbourne, Yale University, Vanderbilt University, University of Arizona. Hauptarbeitsgebiete sind die Struktur und Dynamik der elementaren Materie (Quarks, Gluonen, Mesonen, Baryonen, Atomkerne), Schwerionenphysik, Feldtheorie (Quantenelektrodynamik, Eichtheorie der schwachen Wechselwirkung, Quantenchromodynamik, Theorie der Gravitation), Atomphysik.
974 Empfänger des Max-Born-Preises und der Max-Born-Medaille des Institute of Physics (London) und der Deutsche Physikalische Gesellschaft, 1982 des Otto-Hahn-Preises der Stadt Frankfurt am Main, 1998 der Alexander von Humboldt-Medaille, 1999 Officier dans l'Ordre des Palmes Academiques.
Inhaber zahlreicher Ehrendoktorwürden (unter anderem der University of Witwatersrand, Johannesburg, der Universite Louis Pasteur Strasbourg, der UNAM Mexico, der Universitäten Bucharest, Tel Aviv, Nantes, St. Petersburg, Moskau, Debrecen, Dubna und anderen) sowie Ehrenprofessuren (University of Bejing, China, und Jilin University Changchun, China) und Ehrenmitglied vieler Akademien.

Blurb

Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties, and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-centre Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner) are also presented. The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.
This third edition has been slightly revised to bring the text up-to-date.