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Der vorliegende Klassiker bietet Studierenden und Forschenden in den Gebieten der Theoretischen und Mathematischen Physik eine ideale Einführung in die Differentialgeometrie und Topologie. Beides sind wichtige Werkzeuge in den Gebieten der Astrophysik, der Teilchen- und Festkörperphysik. Das Buch führt durch:- Pfadintegralmethode und Eichtheorie- Mathematische Grundlagen von Abbildungen, Vektorräumen und Topologie- Fortgeschrittene Konzepte der Geometrie und Topologie und deren Anwendungen im Bereich der Flüssigkristalle, bei suprafluidem Helium, in der ART und der bosonischen Stringtheorie- Eine Zusammenführung von Geometrie und Topologie: Faserbündel, charakteristische Klassen und Indextheoreme- Anwendungen von Geometrie und Topologie in der modernen Physik: Eichfeldtheorien und der Analyse der Polakov'schen bosonischen Stringtheorie aus einer geometrischen Perspektive
This book is a pedagogical guide on how to make computations in direct dark matter (DM) detection. The theory behind the calculation of direct detection cross sections and rates is presented, touching aspects related to elementary particle physics, hadronic physics, nuclear physics, and astrophysics. The book is structured in self-contained sections, covering several topics ranging from the scattering kinematics to the phenomenology of direct DM searches. It follows a model-independent approach, aiming at providing the readers with all that is needed to understand the theory and start their own analysis. Meant for graduate students and researchers with interests in particle physics and phenomenology, it is enriched with several worked examples from standard and non-standard particle DM models. Senior researchers working in different areas related to dark matter, like particle and nuclear physics, astrophysics, and cosmology, find in this booka useful and updated guide for reference.
The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in the physics of nonlinear waves. In this classic book, the concept of the soliton is traced from the beginning of the last century to modern times, with recent applications in biology, oceanography, solid state physics, electronics, elementary particle physics, and cosmology.The Versatile Soliton is an appropriate title indeed. There is much new historical information in the book...The book is written in a lively language and the physics presented in a clear, pedagogical style. Most of the chapters require only knowledge of fairly elementary mathematics and the main ideas of soliton physics are well explained without mathematics at all...Yet it contains valuable information and offers a historical review of soliton physics that cannot be found elsewhere. -CentaurusIn summary, this book is a good elementary treatment of solitons and the related history of physics and mathematics, even for readers with little knowledge of advanced mathematics. For readers with the latter knowledge, it is still a good introduction to the physical ideas required for the understanding of solitons prior to the study of more mathematical treatments from other sources. -Mathematical ReviewsThis engaging book is an excellent introduction into the wonderful world of soliton mechanics. -Zentralblatt MathNo doubt, everyone can get new information from the book. First, the book is strongly recommended to young researchers. In a certain sense, the book is unique and definitely will find a niche among numerous textbooks on solitons. -Physicala
"Quantum Interferometry in Phase Space" is primarily concerned with quantum-mechanical distribution functions and their applications in quantum optics and neutron interferometry. In the first part of the book, the author describes the phase-space representation of quantum optical phenomena such as coherent and squeezed states. Applications to interferometry, e.g. in beam splitters and fiber networks, are also presented. In the second part of the book, the theoretical formalism is applied to neutron interferometry, including the dynamical theory of diffraction, coherence properties of superposed beams, and dephasing effects.
Explains how group theory underpins some of the key features of particle physics. This book examines symmetries and conservation laws in quantum mechanics and relate these to groups of transformations.
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