Advanced Quantum Mechanics, 2012 Materials and Photons Graduate Texts in Physics Series
Auteur : Dick Rainer
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.
The Need for Quantum Mechanics.- Self-adjoint Operators and Eigenfunction Expansions.- Simple Model Systems.- Notions from Linear Algebra and Bra-ket 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.- Time-Dependent Perturbations in Quantum Mechanics.- Path Integrals in Quantum Mechanics.- Coupling to Electromagnetic Fields.- Principles of Lagrangian Field Theory.- Non-relativistic Quantum Field Theory.- Quantization of the Maxwell Field: Photons.- Quantum Aspects of Materials II.- Dimensional Effects in Low-dimensional Systems.- Klein-Gordon and Dirac Fields.
Date de parution : 02-2014
Ouvrage de 552 p.
15.5x23.5 cm
Date de parution : 01-2012
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 94,90 €
Ajouter au panierMots-clés :
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