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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Advanced Quantum Mechanics - Materials and Photons (Paperback, 2012 ed.)
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Advanced Quantum Mechanics - Materials and Photons (Paperback, 2012 ed.)
Series: Graduate Texts in Physics
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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 Schroedinger field before
the relativistic Maxwell, Klein-Gordon and Dirac fields are
quantized. Quantized Schroedinger 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.
General
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