Quantum Mechanics II

From angular momentum to non-relativistic quantum field theory
Erscheinungsjahr 2027
ISBN: 978-3-662-74256-3
Verlag: Springer

Buch, Englisch, 430 Seiten, Format (B × H): 168 mm x 240 mm

In a comprehensive presentation, the four volumes of this textbook develop and explore the foundations of non-relativistic quantum mechanics in depth, which makes them also ideally suited as a reference work.

The second volume examines quantum mechanical angular momentum, as well as symmetries in non-relativistic quantum mechanics. The formalism is then applied to three-dimensional problems, a very important field of application, using both algebraic and analytical methods. The subsequent chapters offer a thorough treatment of particles in electromagnetic fields, and of identical particles, which leads seamlessly on to field quantisation.

Special Features:

Even complex topics are explained clearly and with illustrating examples. Numerous mathematical digressions elucidate general mathematical concepts. Particular highlights of the book include the algebraic proof of the integer nature of orbital angular momentum, the detailed investigation of the connection between Clifford algebras and spinors, and a linearisation approach to the Schrödinger equation. The mathematics of gauge theories provides a coherent formulation of many topological phenomena, such as magnetic monopoles, the Aharonov–Bohm effect and Landau levels. Translated with AI assistance and revised by the author.

Contents:

1.°Theory of angular momentum I - 2.°Symmetries in quantum mechanics I - 3.°Three-dimensional problems - 4.°Particles in electromagnetic fields - 5.°Theory of angular momentum II - 6.°Identical particles and non-relativistic quantum field theory

Audience:

The book is aimed at both undergraduate and graduate students and their instructors. Due to its multi-volume format, the wide range of topics, and references to original scientific papers, it is also a must-have for the bookshelf of anyone working in physics.

Previous knowledge:

Knowledge of theoretical mechanics, electrodynamics, and special relativity, as well as real analysis, linear algebra, and complex analysis, is assumed.

Zielgruppe

Graduate

Autoren/Hrsg.

Tennert, Oliver

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Part 1.Theory of angular momentum I.- Part 2.Symmetries in quantum mechanics I.- Part 3.Three-dimensional problems.- Part 4.Particles in electromagnetic fields.- Part 5.Theory of angular momentum II.- Part 6.Identical particles and non-relativistic quantum field theory.

Über Autor(innen)

Oliver Tennert received his Ph.D. in theoretical physics at Eberhard Karls University of Tübingen. He then worked as a research assistant at the Institute for Theoretical Physics, working on Yang–Mills theories and quantum chromodynamics (QCD). In his doctoral thesis he investigated vortex condensation and quark confinement in lattice Yang–Mills theories in centre projection. His subsequent professional career led him into the area of high-performance computing and its numerous scientific and industrial applications. However, his passion remains theoretical physics and its mathematical methods.