Advanced Quantum Mechanics

ISBN-13: 9783642098741 / Angielski / Miękka / 2010 / 405 str.

Franz Schwabl; R. Hilton; Angela Lahee

Opis

Characteristic of Schwabl s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition."

Spis treści

Nonrelativistic Many-Particle Systems.- Second Quantization.- Spin-1/2 Fermions.- Bosons.- Correlation Functions, Scattering, and Response.- Relativistic Wave Equations.- Relativistic Wave Equations and their Derivation.- Lorentz Transformations and Covariance of the Dirac Equation.- Orbital Angular Momentum and Spin.- The Coulomb Potential.- The Foldy–Wouthuysen Transformation and Relativistic Corrections.- Physical Interpretation of the Solutions to the Dirac Equation.- Symmetries and Further Properties of the Dirac Equation.- Relativistic Fields.- Quantization of Relativistic Fields.- Free Fields.- Quantization of the Radiation Field.- Interacting Fields, Quantum Electrodynamics.

O autorze

Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic fields. Characteristic of Schwabl s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. This text extends and complements Schwabl s introductory Quantum Mechanics, which covers nonrelativistic quantum mechanics and offers a short treatment of the quantization of the radiation field. New material has been added to this second edition of Advanced Quantum Mechanics on momentum representation, Bose gases, the Lorentz transformation and covariance with the Dirac equation, and the hole theory in chapter "Physical Interpretation of the Solutions to the Dirac Equation."

Blurb

Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic quantum fields. Characteristic of the author´s work are the comprehensive mathematical discussions in which all intermediate steps are derived and where numerous examples of application and exercises help the reader gain a thorough working knowledge of the subject. The topics treated in the book lay the foundation for advanced studies in solid-state physics, nuclear and elementary particle physics. This text both extends and complements Schwabl´s introductory Quantum Mechanics, which covers nonrelativistic quantum mechanics and offers a short treatment of the quantization of the radiation field. The fourth edition has been thoroughly revised with new material having been added. Furthermore, the layout of the figures has been unified, which should facilitate comprehension.