Graduate Texts in Physics

Advanced Quantum Mechanics

Materials and Photons

Authors: Dick, Rainer

  • 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
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  • ISBN 978-1-4419-8077-9
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Softcover $119.00
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  • ISBN 978-1-4899-9068-6
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About this Textbook

Advanced Quantum Mechanics: Materials and Photons is a textbook which 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. The textbook 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. 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.

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)


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Table of contents (21 chapters)

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-1-4419-8077-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-1-4899-9068-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Advanced Quantum Mechanics
Book Subtitle
Materials and Photons
Authors
Series Title
Graduate Texts in Physics
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-8077-9
DOI
10.1007/978-1-4419-8077-9
Softcover ISBN
978-1-4899-9068-6
Series ISSN
1868-4513
Edition Number
1
Number of Pages
XX, 552
Topics