Quantum Mechanics III
Approximation methods, time-dependent systems and scattering theory
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Beschreibung
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 third volume presents important approximation methods for time-independent problems and then leads from the treatment of time-dependent systems to the large topic of scattering theory.
Special Features:
Even complex topics are explained clearly and with illustrating examples. Numerous mathematical digressions elucidate general mathematical concepts. Particular highlights of the book are the derivation of emergent gauge theories from the Born–Oppenheimer approximation, the exact solutions for the hydrogen molecule ion as a two-center problem and for the Coulomb scattering problem, as well as the investigation of the analytical structure of the S-matrix, including the derivation of important dispersion relations. Translated with AI assistance and revised by the author.
Contents:
1.°Approximation methods for bound states - 2.°Time-dependent systems and transitions - 3.°Scattering theory
Target group:
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.
The Author:
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.
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 third volume presents important approximation methods for time-independent problems and then leads from the treatment of time-dependent systems to the large topic of scattering theory.
Special Features:
Even complex topics are explained clearly and with illustrating examples. Numerous mathematical digressions elucidate general mathematical concepts. Particular highlights of the book are the derivation of emergent gauge theories from the Born–Oppenheimer approximation, the exact solutions for the hydrogen molecule ion as a two-center problem and for the Coulomb scattering problem, as well as the investigation of the analytical structure of the S-matrix, including the derivation of important dispersion relations. Translated with AI assistance and revised by the author.
Contents:
1.°Approximation methods for bound states - 2.°Time-dependent systems and transitions - 3.°Scattering theory
Target group:
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.
Further insights into quantum mechanics suitable for special lectures and seminars in the master's program Suitable for Bachelor and Master students Detailed derivation with great mathematical reference
Autor*in
Oliver Tennert
Themen in »Quantum Mechanics III«
Quantum Theory Relativistic quantum mechanics Scattering theory Hatree-Fock method Born-Oppenheimer method Zeeman effect Fine structure and hyperfine structure Fermi's Golden Rule Eikonal approximation Rabi oscillations S matrix Rayleigh-Ritz variational method