Advanced Quantum Mechanics: Materials and Photons

Front Cover
Springer, Jul 1, 2016 - Science - 692 pages

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 sections on 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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

1 The Need for Quantum Mechanics
1
2 Selfadjoint Operators and Eigenfunction Expansions
25
3 Simple Model Systems
36
4 Notions from Linear Algebra and BraKet Notation
63
5 Formal Developments
84
6 Harmonic Oscillators and Coherent States
103
7 Central Forces in Quantum Mechanics
121
8 Spin and Addition of Angular Momentum Type Operators
157
19 Quantum Aspects of Materials II
430
20 Dimensional Effects in Lowdimensional Systems
477
21 Relativistic Quantum Fields
495
22 Applications of Spinor QED
545
Lagrangian Mechanics
577
The Covariant Formulation of Electrodynamics
587
Completeness of SturmLiouville Eigenfunctions
605
Properties of Hermite Polynomials
620

9 Stationary Perturbations in Quantum Mechanics
171
10 Quantum Aspects of Materials I
185
11 Scattering Off Potentials
206
12 The Density of States
227
13 Timedependent Perturbations in Quantum Mechanics
240
14 Path Integrals in Quantum Mechanics
283
15 Coupling to Electromagnetic Fields
301
16 Principles of Lagrangian Field Theory
321
17 Nonrelativistic Quantum Field Theory
333
Photons
383
The BakerCampbellHausdorff Formula
625
The Logarithm of a Matrix
629
Dirac γ matrices
633
Spinor representations of the Lorentz group
645
Transformation of fields under reflections
655
Greens functions in d dimensions
658
Bibliography
685
Index
687
Copyright

Other editions - View all

Common terms and phrases

About the author (2016)

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.