Supersymmetry: Basics and Concepts provides an overall survey of supersymmetry from a unified and up-to-date viewpoint. The author's approach reflects the free logic that characterizes present day research rather than fact-bound induction. Main topics include: simple systems with supersymmetry taken from particle mechanics, the classical limit of supersymmetric quantum mechanics, the double cover of the Lorentz group and other group theoretical... more...
A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as... more...
This book overviews the extensive literature on apparent
cosmological and black hole horizons.
In theoretical gravity, dynamical situations such as
gravitational collapse, black hole evaporation, and black holes
interacting with non-trivial environments, as well as the
attempts to model gravitational waves occurring in highly
dynamical astrophysical processes, require that the concept of
event horizon be generalized. Inequivalent... more...
This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.
This monograph provides graduate students and also professional
researchers aiming to understand the dynamics of open quantum
systems with a valuable and self-contained toolbox. Special focus
is laid on the link between microscopic models and the resulting
open-system dynamics. This includes how to derive the celebrated
Lindblad master equation without applying the rotating wave
approximation. As typical representatives for non-equilibrium... more...
The first derivative of a particle coordinate means its velocity,
the second means its acceleration, but what does a fractional
order derivative mean? Where does it come from, how does it work,
where does it lead to? The two-volume book written on high
didactic level answers these questions. Fractional Derivatives
for Physicists and Engineers— The first volume contains a clear
introduction into such a modern branch of analysis as the... more...
This third volume completes the Work Mechanical Systems, Classical Models. The first two volumes dealt with particle dynamics and with discrete and continuous mechanical systems. The present volume studies analytical mechanics. Topics such as Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables are thoroughly discussed. Also included are variational principles and canonical transformations,... more...
The book brings together state of the art papers in nonlinear PDEs with applications to: dynamical systems, CFD, computational mechanics, bio engineering, bio mathematics, medical applications, reduction models, optimal control, and mathematical finances
This textbook is a thorough, accessible introduction to advanced
digital Fourier analysis for advanced students. Assuming
knowledge of the Fast Fourier Transform, this book covers
advanced topics including the Hilbert transform, cepstrum
analysis and the two-dimensional Fourier transform.
Saturated with clear, coherent illustrations, "Digital Fourier
Analysis: Volume 2" includes practice problems and thorough
Appendices. As a central... more...
Beginning with an overview of the theory of black holes by the
editor, this book presents a collection of ten chapters by leading
physicists dealing with the variety of quantum mechanical and
quantum gravitational effects pertinent to black holes. The
contributions address topics such as Hawking radiation, the
thermodynamics of black holes, the information paradox and
firewalls, Monsters, primordial black holes, self-gravitating