Advanced Quantum Mechanics

This textbook, now in an expanded third edition, 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, introductions to Lagrangian mechanics and the covariant formulation of electrodynamics are provided in appendices.

This third edition includes 60 new exercises, new and improved illustrations, and new material on interpretations of quantum mechanics. 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.

• quantum aspects of materials
• advanced quantum mechanics textbook
• BCH formula
• Lagrangian Field Theory
• Mehler’s formula
• Noether theorem
• Sturm-Liouville eigenfunctions
• interpretations of quantum mechanics
• degenerate perturbation theory
• Möller electron-electron scattering
• Bloch’s theorem
• Wannier states
• QED via quantization of classical fields

• Department of Physics, University of Saskatchewan, Saskatoon, Canada

  Rainer Dick

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 has also served 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.

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