Description 
1 online resource (xix, 692 pages) : illustrations 
Series 
Graduate texts in physics, 18684521 

Graduate texts in physics. 18684513

Contents 
The Need for Quantum Mechanics  Selfadjoint Operators and Eigenfunction Expansions  Simple Model Systems  Notions from Linear Algebra and BraKet Formalism  Formal Developments  Harmonic Oscillators and Coherent States  Central Forces in Quantum Mechanics  Spin and Addition of Angular Momentum Type Operators  Stationary Perturbations in Quantum Mechanics  Quantum Aspects of Materials I  Scattering Off Potentials  The Density of States  TimeDependent Perturbations in Quantum Mechanics  Path Integrals in Quantum Mechanics  Coupling to Electromagnetic Fields  Principles of Lagrangian Field Theory  Nonrelativistic Quantum Field Theory  Quantization of the Maxwell Field: Photons  Quantum Aspects of Materials II  Dimensional Effects in Lowdimensional Systems  Relativistic Quantum Fields  Applications of Spinor QED 
Summary 
In this updated and expanded second edition of a wellreceived 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 selfcontained 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℗ℓan additional 62 new problems as well as expanded sections on℗ℓrelativistic quantum fields and applications of℗ℓquantum 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 tr ansition 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 Schr©œdinger field before the relativistic Maxwell, KleinGordon and Dirac fields are quantized. Quantized Schr©œdinger 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 for Eigen functions of onedimensional SturmLiouville problems, logarithms of matrices, and Greenℓ́ℓs functions in different dimensions 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed July 7, 2016) 
Subject 
Quantum theory.


Quantum theory.

Form 
Electronic book

ISBN 
3319256742 

3319256750 

9783319256740 

9783319256757 
