Overview
- Introduces quantum mechanics with a unique focus on examples and applications in materials science and photon-matter interactions
- Presents advanced quantum mechanics clearly enough to make it accessible to graduate students in physics, chemistry and engineering
- New and updated edition includes an additional 62 new problems to aid in student's comprehension
- Includes new and expanded sections on relativistic quantum fields and applications of quantum electrodynamics
- Includes in the appendixes very essential elements of analytical mechanics, special relativity and covariant electrodynamics
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Physics (GTP)
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Table of contents (22 chapters)
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Front Matter
Keywords
- quantum aspects of materials
- BCH formula
- Lagrangian Field Theory
- Mehler’s formula
- Noether theorem
- Sturm-Liouville eigenfunctions
- capture cross sections
- degenerate perturbation theory
- Klein-Nishina cross section of Compton scattering
- Möller electron-electron scattering
- Bloch’s theorem
- Wannier states
- QED via quantization of classical fields
About this book
In this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics, Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics.
This second edition includes an additional 62 new problems as well as expanded sectionson relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes.
Authors and Affiliations
About the author
Rainer Dick was educated in Stuttgart and Hamburg, and worked at the University of Munich and the Institute for Advanced Study in Princeton before accepting a faculty position at the University of Saskatchewan. He has served at the Canadian national level as Chair of the Division of Theoretical Physics of the Canadian Association of Physicists and on several national committees. He is also currently serving as Secretary of the Commission for Mathematical Physics of the International Union of Pure and Applied Physics. Dick's research interests are influenced by the versatility of quantum theory and the ubiquity of quantum effects, and span a wide array of topics from materials research to astroparticle physics and brane cosmology.
Bibliographic Information
Book Title: Advanced Quantum Mechanics
Book Subtitle: Materials and Photons
Authors: Rainer Dick
Series Title: Graduate Texts in Physics
DOI: https://doi.org/10.1007/978-3-319-25675-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2016
Softcover ISBN: 978-3-319-79826-4Published: 31 May 2018
eBook ISBN: 978-3-319-25675-7Published: 01 July 2016
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
Edition Number: 2
Number of Pages: XIX, 692
Number of Illustrations: 27 b/w illustrations, 36 illustrations in colour
Topics: Quantum Physics, Quantum Optics, Optical and Electronic Materials, Nanoscale Science and Technology, Nanotechnology