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George D Gollin: A Problem-based
Introduction To Special And General Rel

A Problem-based Introduction To Special And General Relativity: Including Worked Problems And Discussions Of The Ehrenfest Paradox And The Maxwell Equations

Origami Engineering: Combining Science, Art, And Industry

This book accompanies another book by the same authors, Introduction to the Theory of the Early Universe: Hot Big Bang Theory (Second Edition) and presents the theory of the evolution of density perturbations and relic gravity waves, the theory of cosmological inflation, and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.Particle physics and cosmology enjoyed rapid development between the first and the second editions of this book. In the second edition, the numerical values of particle physics and cosmological parameters have been updated in accordance to contemporary data.

Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory

Handbook of Electronic Structure Theory provides a much-needed learning resource that collects and demonstrates the various key methods involved in electronic structure theory, the feasibility and reliability of electronic structure calculations and their applications using computational chemistry, with a particular focus on the most modern and recent problems which are poorly covered in existing, largely outdated book literature. This handbook is designed with early career researcher learning in mind by aiming to provide a careful, structured, coherent, measured, and incremental presentation of the subject matter as well as appropriate problems and worked tutorial examples. Elements like summary boxes, worked examples, and downloadable data sets make this a holistic guide to the topic for learners from different backgrounds who require a deeper understanding of electronic structure theory. Part I one of the book focuses on the critical core theories, before Part II moves on to some of the most important recent developments and their potential future directions, including key topics such as the electronic excited states and the harnessing of machine learning. Finally, Part III then collects a range of key case study examples of applications such as for biomolecules, in spectroscopy, or for use in catalysis amongst others. Handbook of Electronic Structure Theory is written primarily for masters, PhD, and postdoctoral students in theoretical and computational chemistry as well as experimental researchers wishing to apply quantum chemical methods in a critical way. The book will also have significant relevance to those studying and teaching in the adjacent fields of computational physics, materials science, and astrochemistry, who are making use of electronic structure methods. It is also likely to be of interest to chemists working on designing new materials and compounds targeting industrial and environmental applications such as catalysis, energy harvesting or green chemistry.

Methods and Applications

Handbook of Electronic Structure Theory

This book is devoted to description of different geometric structures, including the classical structures of differential geometry like de Rham complex, Dolbeaux complex and Dirac complex and also some structures that have not attracted yet an attention of mathematicians in the language of supersymmetric quantum mechanics. The book is addressed both to physicists and mathematicians.The first part is addressed mainly to physicists and describes basic properties of smooth manifolds of different type: real, complex, Kaehler, hyperkaehler and HKT. The second part is addressed to mathematicians and describes basic properties of classical and quantum mechanical systems, including supersymmetric systems with Grassmann dynamic variables. The third part is called Synthesis: we show how the physical methods allow one to describe in a simple way and understand many nontrivial geometric facts. For example, the famous Atiyah-Singer theorem admits a rather natural and simple supersymmetric interpretation.This book is an updated and expanded version of the book Differential geometry through supersymmetric glasses published in 2020 by World Scientific. New material on hyperkaehler geometry and its supersymmetric description and on the gauge fields in CPn manifolds is added.

Geometry Meets Supersymmetry

Advanced Series In Astrophysics And Cosmology

The current cosmological model relies on inflationary theories, which incorporate baryosynthesis, dark matter, and dark energy. Supported by precise cosmological data, it necessitates physics beyond the standard models of fundamental forces, including gravity. This connection between macroscopic gravity on large scales and quantum gravity on the smallest scales is where quantum gravity's nature becomes evident. Quantum gravity effects alter our classical understanding of gravitational phenomena as described by General Relativity, leading to observable deviations from the conventional cosmological model. The field of cosmoparticle physics explores the interplay between the micro and macro worlds, offering insights into the development of quantum gravity and its cosmological implications. In this work we hence wanted to cover all the amazing developments which have happened on the interface of quantum gravity theories and cosmology, making it a valuable resource for any researcher interested in exploring these fields in depth or starting research in them.

Quantum Gravitational Imprints On Cosmology

Astronomy and astrophysics library

This book is based in part on classroom tested lectures related to the first stars (Pop III stars), but also draws from the author's review articles of the main physical principles involved. The book will thus combine pedagogical introductory chapters with more advanced ones to survey the cutting-edge advances from the frontier of research.The formation of Pop III stars and galaxies is one of the great outstanding challenges in modern astrophysics and cosmology. The first stars are likely key drivers for early cosmic evolution and will be at the center of attention over the next decade. The best available space and ground-based telescopes like the Hubble Space Telescope probe the Universe to high redshifts and provide us with tantalizing hints; but they cannot yet directly detect the first generation of stars and the formation of the first galaxies. This is left as key science for future telescopes like the James Webb Space Telescope.The book covers the theory of first star formation, the relation between first stars and dark matter, their impact on cosmology, their observational signatures, the transition to normal star formation as well as the assembly of the first galaxies. It will prepare advanced students and researchers entering the field for interpreting observational findings and their cosmological implications.

This book is based in part on classroom tested lectures related to the first stars (Pop III stars), but also draws from the author's review articles of the main physical principles involved. The book will thus combine pedagogical introductory chapters with more advanced ones to survey the cutting-edge advances from the frontier of research.The formation of Pop III stars and galaxies is one of the great outstanding challenges in modern astrophysics and cosmology. The first stars are likely key drivers for early cosmic evolution and will be at the center of attention over the next decade. The best available space and ground-based telescopes like the Hubble Space Telescope probe the Universe to high redshifts and provide us with tantalizing hints; but they cannot yet directly detect the first generation of stars and the formation of the first galaxies. This is left as key science for future telescopes like the James Webb Space Telescope.The book covers the theoryof first star formation, the relation between first stars and dark matter, their impact on cosmology, their observational signatures, the transition to normal star formation as well as the assembly of the first galaxies. It will prepare advanced students and researchers entering the field for interpreting observational findings and their cosmological implications.

The First Stars

Oxford Graduate Texts

Quasi-adiabatic theory has applications across disciplines, from quantum computing and cosmology to materials science and atomic physics. This textbook provides, for the first time, a comprehensive introduction to quasi-adiabatic effects. In modern physics, the term "adiabatic" refers to the slow evolution limit. Nonadiabatic transitions are well understood also. Conversely, quasi-adiabatic theory pertains to a systematically developed theory revealing numerous time-dependent evolutions in physics that, while slow, are not genuinely adiabatic. It is rich in effects that can be understood even in models with complex many-body interactions. Examples from research in quantum computing, phase transitions, ultra-cold atoms, and quantum control are used throughout to illustrate these effects. Quasi-Adiabatic Effects: Introduction to Geometric Phases and Landau-Zener Transitions is aimed at students at graduate level and beyond, who are interested in quantum and classical mechanics, as well as complex analysis. The book seeks to fill a gap in the literature by providing an accessible introduction to both geometric phases and nonadiabatic transitions at a level sufficient to consider numerous applications. Some of the processes found here are discussed for the first time in a textbook format, including the Dykhne formula (Chapter 8) and multistate Landau-Zener theory (Chapter 11). This unique material makes Quasi-Adiabatic Effects a novel and important addition to the textbook literature of several topics encountered in modern research. Throughout the book, students will find discussions and complex analysis of these processes as well as problems to solve (with solutions also provided). The problems help refresh several elementary techniques which will become progressively useful throughout the chapters.

Introduction to Geometric Phases and Landau-Zener Transitions

Quasi-Adiabatic Effects

Handbook of Radiation Belts: Physics Throughout the Solar System provides a comprehensive overview of radiation belt processes throughout the solar system in a single book, compiling all information relevant to radiation belts in one place. It features an overview of radiation belts of each applicable planet in the Solar System to assist researchers working on individual radiation belt physics, particularly of comparative or multiplanetary scope. The handbook goes on to offer a detailed guide to basics such as measurement and particle motion to more advanced topics such as radial transport and associated acceleration. It provides the respective theory behind the physics as well as detailed derivations, with worked examples and case studies, allowing readers to follow the implementation of the theory behind the science to apply in their research. The Handbook of Radiation Belts covers all relevant topics to radiation belts in our Solar System in one complete source, offering researchers, academics and students in space physics a complete guide to the topic for those performing fundamental research and teaching, as well as professionals planning and operating space missions or assets.

Physics Throughout the Solar System

Handbook of Radiation Belts

Surveys and Tutorials in the Applied Mathematical Sciences

This book introduces groupoids and n-fold groupoids as powerful mathematical tools that unify and generalize local and distant symmetries observed in physical systems.&nbsp;While these concepts are typically discussed in highly specialized literature, this volume makes them accessible to a broader audience by grounding them in concrete applications to solid mechanics, including composite materials and metamaterials. No prior knowledge of the theory or its applications is assumed. The chapters alternate between mathematical foundations and their realization in the behavior of elastic bodies, offering readers a guided and rewarding exploration. Throughout the book, examples and exercises support understanding and encourage hands-on engagement. This work opens a new perspective on symmetry in applied mathematics and physics, bridging abstract theory with practical modeling.

A Problem-based Introduction To Special And General Relativity: ...

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