Free Energy and Self-Interacting Particles
Free Energy and Self-Interacting Particles

Author: Takashi Suzuki

Publisher: Springer Science & Business Media

Published: 2008-01-08

Total Pages: 367

ISBN-13: 0817644369

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* Examines a nonlinear system of parabolic PDEs arising in mathematical biology and statistical mechanics * Describes the whole picture, i.e., the mathematical and physical principles * Suitable for researchers and grad students in mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automatons, variational methods, and their applications to physics, chemistry, biology, and engineering

Quantum Field Theory Of Point Particles And Strings
Quantum Field Theory Of Point Particles And Strings

Author: Brian Hatfield

Publisher: CRC Press

Published: 2018-03-09

Total Pages: 474

ISBN-13: 0429972865

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First Published in 2018. The emphasis of the book is calculational, and most computations are presented in step-by-step detail. The book is unique in that it develops all three representations of quantum field theory (operator, functional Schr dinger, and path integral) for point particles and strings. In many cases, identical results are worked out in each representation to emphasize the representation-independent structures of quantum field theory

Many-Body Quantum Theory in Condensed Matter Physics
Many-Body Quantum Theory in Condensed Matter Physics

Author: Henrik Bruus

Publisher: OUP Oxford

Published: 2004-09-03

Total Pages: 464

ISBN-13: 0191057479

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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-Büttiker 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.

A Universe of Atoms, An Atom in the Universe
A Universe of Atoms, An Atom in the Universe

Author: Mark P. Silverman

Publisher: Springer Science & Business Media

Published: 2008-04-08

Total Pages: 426

ISBN-13: 038722761X

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jThis thoroughly updated and revised text contains a selection of well-written essays based on Silvermans work on a wide range of topics, including: quantum mechanics, including atomic and nuclear physics, electromagnetism and optics, gravity, thermodynamics, and the physics of fluids. Presenting a personal odyssey in physics, Silverman investigates processes for which no visualizable mechanism can be given, or that seem to violate fundamental physical laws (but do not). The discussions use little mathematics, and anyone with a little college physics will be able to read the book with pleasure. -Engagingly written -Easily understandable by both the general reader and the seasoned physicist -Covers a diversity of subjects from "hot" topics in contemporary physics to less widely known but subtle and intriguing issues in physics -Discusses real physical systems whose behavior provokes, surprises and challenges the imagination -This second edition is newly revised and updated

Molecular Forces and Self Assembly
Molecular Forces and Self Assembly

Author: B. W. Ninham

Publisher: Cambridge University Press

Published: 2010

Total Pages: 383

ISBN-13: 0521896002

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"Challenging the cherished notions of colloidal theory, Barry Ninham and Pierandrea Lo Nostro confront the scientific lore of molecular forces and colloidal science in an incisive and thought-provoking manner. Throughout the book, they question assumptions, unearth flaws and present new results and ideas. With mathematics kept to a minimum and historic facts and anecdotes woven through the text, this is a highly engaging and readable treatment for students and researchers in science and engineering." --Book Jacket.

Advanced Gene Delivery
Advanced Gene Delivery

Author: Alain Rolland

Publisher: CRC Press

Published: 2003-09-02

Total Pages: 300

ISBN-13: 0203303814

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A practical resource for everyone involved in the gene therapy field and in the design of effective gene delivery systems, this volume presents an overview and update of recent advances in the field of non-viral methods for the in vivo transfer of therapeutic genes to biological targets using conventional routes of administration. Methods to control the spatial and temporal modulation of gene function in vivo as well as the level, duration, specificity, and fidelity of gene expression are described. The rational design and the applications of a variety of non-viral gene delivery systems, such as cationic lipid-, polymer-, and (poly) peptide-based systems, are exemplified for the control of location of therapeutic genes administered by various routes. Current and potential clinical applications of gene-based medicines are presented for the prevention, correction or modulation of diseases. Examples of current applications of plasmid-based systems for genetic vaccination, treatment of genetic disorders such as cystic fibrosis, and treatment of acquired diseases such as cancer are also provided.

Discrete Integrable Geometry and Physics
Discrete Integrable Geometry and Physics

Author: Alexander I. Bobenko

Publisher: Clarendon Press

Published: 1999

Total Pages: 466

ISBN-13: 9780198501602

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Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces have led to the observation that most concepts of surface theory and of the theory of integrable systems have natural discreteanalogues. These are characterized by the property that the corresponding difference equations are integrable, and has led in turn to some important applications in areas of condensed matter physics and quantum field theory, amongst others. The book combines the efforts of a distinguished team ofauthors from various fields in mathematics and physics in an effort to provide an overview of the subject. The mathematical concepts of discrete geometry and discrete integrable systems are firstly presented as fundamental and valuable theories in themselves. In the following part these concepts areput into the context of classical and quantum dynamics.

Analysis and Stochastics of Growth Processes and Interface Models
Analysis and Stochastics of Growth Processes and Interface Models

Author: Peter Mörters

Publisher: Oxford University Press, USA

Published: 2008-07-24

Total Pages: 347

ISBN-13: 0199239258

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This is a collection of topical survey articles by researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is given to the interplay of the usually separate fields of applied analysis and probability theory.

Classical Charged Particles
Classical Charged Particles

Author: Fritz Rohrlich

Publisher: CRC Press

Published: 2020-01-20

Total Pages: 263

ISBN-13: 0429709064

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Widely-discussed in the theory of classical point charges are the difficulties of divergent self-energy, self-accelerating solutions, and pre-acceleration. This book explains the theory in the context of quantum electrodynamics, the neutral particle limit, and coherence with neighboring theories.

MEAN FIELD THEORIES AND DUAL VARIATION
MEAN FIELD THEORIES AND DUAL VARIATION

Author: Takashi Suzuki

Publisher: Springer Science & Business Media

Published: 2009-01-01

Total Pages: 299

ISBN-13: 9491216228

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A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The so-called mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of “duality” according to the PDE weak solutions and “hierarchy” for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multi-scale mathematical explanations of the Smoluchowski–Poisson model in non-equilibrium thermodynamics, two-dimensional turbulence theory, self-dual gauge theory, and so forth. This book shows how and why many different nonlinear problems are inter-connected in terms of the properties of duality and scaling, and the way to analyze them mathematically.