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Julia-Diaz B: Problems and Solutions in
Many-Body Quantum Theory

Problems and Solutions in Many-Body Quantum Theory

Sailing the Fermi Sea

Manchester Physics

Cosmology

This is a careful and comprehensive overview of the dark matter problem, including recent theoretical estimates, updated experimental constraints, and analysis of forthcoming experiments.

Space Time And Dark Matter: The Hidden Sectors Of Particle Physics And Cosmology

This book makes an attempt to introduce the physical concept behind the operation of microwave and millimeter wave semiconductor devices in detail. It is written for undergraduates and postgraduates of Physics, Electronics, Electrical and Electronics Engineering.

This book makes an attempt to introduce the physical concept behind the operation of microwave and millimeter wave semiconductor devices in detail. It is written for undergraduates and postgraduates of Physics, Electronics, Electrical and Electronics Engineering.

Physics and Application

Microwave Semiconductor Devices

This text focuses on the parts of stochastic theory that are particularly relevant to applications. It begins with a description of Brownian motion and the associated stochastic calculus, including the relationship to partial differential equations. It then solves stochastic differential equations by a variety of methods. The author also studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions as well as weak convergence of Markov chains to diffusions.

This text focuses on the parts of stochastic theory that are particularly relevant to applications. It begins with a description of Brownian motion and the associated stochastic calculus, including the relationship to partial differential equations. It then solves stochastic differential equations by a variety of methods. The author also studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions as well as weak convergence of Markov chains to diffusions.

An Elementary Introduction Emphasizing Applications

Stochastic Calculus

This book emphasizes how new generation materials discovered recently (like graphene and topological insulators) can be understood using simple Quantum Transport Theory. The book could also be used as a text in Advanced Solid State/Condensed Matter Courses in Physics or Chemistry and in branches of Engineering.

This book emphasizes how new generation materials discovered recently (like graphene and topological insulators) can be understood using simple Quantum Transport Theory. The book could also be used as a text in Advanced Solid State/Condensed Matter Courses in Physics or Chemistry and in branches of Engineering.

Quantum Transport in Dirac Materials

This book provides a detailed treatment of the fundamental principles underlying the interaction of laser radiation with gas-phase atomic and molecular resonances, with emphasis on a practical approach. The focus is on presentation of the essential material needed to understand laser interactions with molecular and atomic resonances using a consistent and fundamental framework with detailed illustrative examples and numerous tables. In addition, there is a thorough overview of the full breadth of engineering applications for diagnostic probes.

This book provides a detailed treatment of the fundamental principles underlying the interaction of laser radiation with gas-phase atomic and molecular resonances, with emphasis on a practical approach. The focus is on presentation of the essential material needed to understand laser interactions with molecular and atomic resonances using a consistent and fundamental framework with detailed illustrative examples and numerous tables. In addition, there is a thorough overview of the full breadth of engineering applications for diagnostic probes.

Applied Laser Spectroscopy

This book is the first one that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. They develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals.The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

This book covers complex analysis (the study of boundary behaviors of analytic functions) and its applications with engineering problems, especially control theory from the viewpoint of boundary functions. The metascience part is rather unique and illustrates a metascientific way of thinking engineering problems by examples of batteries which are cores of electric vehicles.This book gives a way of looking at the phenomena from a higher and brighter point of view through the windows of boundary behavior and metascience. In Chapter 1 which is meant for mathematics-oriented readers, we state materials in standard complex analysis with emphasis on similarity and Laurent expansions. Non-mathematical readers can also benefit by browsing through many examples and worked-out exercises. Chapter 2 gives some concrete examples of invoking novel ideas in the heap of stereo-typed contributions to a field. Possible replacement of LIB by ECaSS(R) is a typical example through which the reader can learn basics of electromagnetism and electrochemistry. The book also provides hints for a deeper understanding of environmental problems as well as how to manage and create a sustainable society.

From Complex Analysis To Metascience: A Stroll Around Boundary Behavior, Similarity And Duality

Dynamics and Astrophysics of Galaxies

How ideas from science can transform your life

The Art of Physics

Origami Engineering: Combining Science, Art, And Industry

While the field of Deep Learning has been advancing at frightening speeds during the last ten years, we do not have a plausible theoretical explanation of its success yet. One can safely say that Deep Learning works, but nobody really understands why. Nevertheless, starting around five years before now, a decent number of theoretical papers specifically concerning neural nets started to emerge at top machine learning venues. This makes us think that the core of Deep Learning theory has already started to crystallize.The goal of the present book is to present these core concepts of Deep Learning theory to readers so that they could directly dive into recent papers of this area. For this purpose, each chapter elaborates a simple model or a classical result in details first and then discusses possible generalizations and more recent developments of the same idea.We have to warn the reader that the present book is not a mathematical manuscript. Not all results here are stated as formal theorems and not all theorems are provided with complete and rigorous proofs. Many of the theorems of the book are proven up to some technical lemmas, while for some there is only a proof sketch. This conforms with the main idea of the book: present and illustrate concepts rather than reproduce all the results.The book, in its present form, covers the following topics: uniform generalization bounds, PAC-bayesian generalization bounds, double descent phenomena, infinitely-wide networks, implicit bias of gradient descent, loss landscape, gradient descent convergence guarantees, and initialization strategies.

Elements Of Deep Learning Theory

Problems and Solutions in Many-Body Quantum Theory

Bibliografische Angaben

Schlagworte

Bibliografische Angaben

Schlagworte

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