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This book is an introduction to the techniques of many-body quantum
theory with a large number of applications to condensed matter
physics. The basic idea of the book is to provide a self-contained
formulation of the theoretical framework without losing
mathematical rigor, while at the same time providing physical
motivation and examples. The examples are taken from applications
in electron systems and transport theory.
On the formal side, the book covers an introduction to second
quantization, many-body Green's function, finite temperature
Feynman diagrams and bosonization. The applications include
traditional transport theory in bulk as well as mesoscopic systems,
where both the Landau-Buttiker formalism and recent developments in
correlated transport phenomena in mesoscopic systems and
nano-structures are covered. Other topics include interacting
electron gases, plasmons, electron-phonon interactions,
superconductivity and a final chapter on one-dimensional systems
where a detailed treatment of Luttinger liquid theory and
bosonization techniques is given. Having grown out of a set of
lecture notes, and containing many pedagogical exercises, this book
is designed as a textbook for an advanced undergraduate or graduate
course, and is also well suited for self-study.
Microfluidics is a young and rapidly expanding scientific
discipline, which deals with fluids and solutions in miniaturized
systems, the so-called lab-on-a-chip systems. It has applications
in chemical engineering, pharmaceutics, biotechnology and medicine.
As the lab-on-a-chip systems grow in complexity, a proper
theoretical understanding becomes increasingly important.
The basic idea of the book is to provide a self-contained
formulation of the theoretical framework of microfluidics, and at
the same time give physical motivation and example from
lab-on-a-chip technology. After three chapters introducing
microfluidics, the governing questions for mass, momentum and
energy, and some basic flow solutions, the following 14 chapters
treat hydraulic resistance/compliance, diffusion/dispersion,
time-dependent flow, capillarity, electro-and
magneto-hydydrodynamics, thermal transport, two-phase flow, complex
flow patterns and acousto-fluidics, as well as the new fields of
opto-and nano-fluidics. Throughout the book simple models with
analytical solutions are presented to provide the student with a
thorough physical understanding of order of magnitudes and various
selected micorfluidic phenomena and devices.
The book grew out of a set of well-tested lecture notes. It is
with its many pedagogical exercises designed as a textbook for an
advanced undergraduate or first-year graduate course. IT is also
well suited for self-study.
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