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This book provides a concise introduction to both the special
theory of relativity and the general theory of relativity. The
format is chosen to provide the basis for a single semester course
which can take the students all the way from the foundations of
special relativity to the core results of general relativity: the
Einstein equation and the equations of motion for particles and
light in curved spacetime. To facilitate access to the topics of
special and general relativity for science and engineering students
without prior training in relativity or geometry, the relevant
geometric notions are also introduced and developed from the ground
up. Students in physics, mathematics or engineering with an
interest to learn Einstein's theories of relativity should be able
to use this book already in the second semester of their third
year. The book could also be used as the basis of a graduate level
introduction to relativity for students who did not learn
relativity as part of their undergraduate training.
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.
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.
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.
This book provides a concise introduction to both the special
theory of relativity and the general theory of relativity. The
format is chosen to provide the basis for a single semester course
which can take the students all the way from the foundations of
special relativity to the core results of general relativity: the
Einstein equation and the equations of motion for particles and
light in curved spacetime. To facilitate access to the topics of
special and general relativity for science and engineering students
without prior training in relativity or geometry, the relevant
geometric notions are also introduced and developed from the ground
up. Students in physics, mathematics or engineering with an
interest to learn Einstein's theories of relativity should be able
to use this book already in the second semester of their third
year. The book could also be used as the basis of a graduate level
introduction to relativity for students who did not learn
relativity as part of their undergraduate training.
This book provides a concise introduction to the special theory of
relativity and the general theory of relativity. The format has
been chosen to provide the basis for a single semester course that
can take the students all the way from the foundations of special
relativity to the core results of general relativity: the Einstein
equation, and the equations of motion for particles and light in
curved spacetime. To facilitate access to the topics of special and
general relativity for science and engineering students, without
prior training in relativity or geometry, the relevant geometric
notions are also introduced.
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