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
- Includes over 150 problems to aid in student's comprehension
Part of the book series: Graduate Texts in Physics (GTP)
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Table of contents (21 chapters)
Keywords
- BCH formula
- Lagrangian Field Theory
- Mehler’s formula
- Noether theorem
- Sturm-Liouville eigenfunctions
- capture cross sections
- completeness of Sturm-Liouville eigenfunctions
- degenerate perturbation theory
- graduate textbook in quantum physics
- logarithms of matrices
- quantum aspects of materials
- quantum mechanics
About this book
Quantization is first discussed for the Schrödinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrödinger field theory is not only important for condensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of the Maxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics,chemistry, and materials science because it naturally separates the effects of Coulomb interactions, exchange interactions, and photon scattering. The appendices contain additional material that is usually not found in standard quantum mechanics textbooks, including a completeness proof of eigenfunctions of one-dimensional Sturm-Liouville problems, logarithms of matrices, and Green's functions in different dimensions.
Reviews
From the reviews:
“Book goes through quantum mechanics starting from its foundations, that are introduced along the historical development. It also includes recent topics … that is necessary to understand quantum effects inside chemistry, material science, microelectronics and photonics. The style is always very didactic, mathematical tools are introduced in a very gradual way … . Some chapters may constitute an initial course in quantum mechanics, the others cover a graduate course in advanced quantum mechanics and can also provide a very useful introduction to quantum field theory.” (Bassano Vacchini, Zentralblatt MATH, Vol. 1247, 2012)
Authors and Affiliations
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/10.1007/978-1-4419-8077-9
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Softcover ISBN: 978-1-4899-9068-6Published: 23 February 2014
eBook ISBN: 978-1-4419-8077-9Published: 11 January 2012
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
Edition Number: 1
Number of Pages: XX, 552
Topics: Quantum Physics, Optical and Electronic Materials, Nanotechnology
Industry Sectors: Aerospace, Electronics, IT & Software