Quantum Themes

Quantum Themes
Author: Thanu Padmanabhan
Publisher: World Scientific
Total Pages: 238
Release: 2009
Genre: Science
ISBN: 9812835474

Quantum theory is one of the more abstract branches of theoretical physics, yet it makes clear and concrete predictions which are repeatedly verified experimentally. More recently, there has been some confluence between the concepts of microphysics and those of macrophysics. Currently fashionable ideas in cosmology are also deeply linked to concepts from quantum theory, thus piquing greater interest in this subject. This timely book takes stock of what quantum theory has achieved and where it is leading to at present, in a manner understandable to an educated layman. The book describes concepts in a strictly scientific manner without trying to make them sound overly philosophical or OC hypingOCO them up. At the same time, careful explanation of the concepts and details (including the technical terminology) are given in a nonmathematical language for the general reader. In particular, emphasis is given to the specific aspects of quantum theory that interface with gravity and cosmology, so as to keep the book reasonably up to date and focused on a key underlying theme.

Universal Themes of Bose-Einstein Condensation

Universal Themes of Bose-Einstein Condensation
Author: Nick P. Proukakis
Publisher: Cambridge University Press
Total Pages: 663
Release: 2017-04-27
Genre: Science
ISBN: 1107085691

Covering general theoretical concepts and the research to date, this book demonstrates that Bose-Einstein condensation is a truly universal phenomenon.

Group Representations, Ergodic Theory, and Mathematical Physics

Group Representations, Ergodic Theory, and Mathematical Physics
Author: Robert S. Doran
Publisher: American Mathematical Soc.
Total Pages: 458
Release: 2008
Genre: Mathematics
ISBN: 0821842250

George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.

Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition)

Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition)
Author: Vasily N Kolokoltsov
Publisher: World Scientific
Total Pages: 411
Release: 2020-08-21
Genre: Mathematics
ISBN: 9811214875

Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.

Introduction to Spectral Theory

Introduction to Spectral Theory
Author: P.D. Hislop
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 146120741X

The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.

A Short Introduction to String Theory

A Short Introduction to String Theory
Author: Thomas Mohaupt
Publisher: Cambridge University Press
Total Pages: 284
Release: 2022-04-07
Genre: Science
ISBN: 110869649X

Suitable for graduate students in physics and mathematics, this book presents a concise and pedagogical introduction to string theory. It focuses on explaining the key concepts of string theory, such as bosonic strings, D-branes, supersymmetry and superstrings, and on clarifying the relationship between particles, fields and strings, without assuming an advanced background in particle theory or quantum field theory, making it widely accessible to interested readers from a range of backgrounds. Important ideas underpinning current research, such as partition functions, compactification, gauge symmetries and T-duality are analysed both from the world-sheet (conformal field theory) and the space-time (effective field theory) perspective. Ideal for either self-study or a one semester graduate course, A Short Introduction to String Theory is an essential resource for students studying string theory, containing examples and homework problems to develop understanding, with fully worked solutions available to instructors.

The Complete Idiot's Guide to String Theory

The Complete Idiot's Guide to String Theory
Author: George Musser
Publisher: Penguin
Total Pages: 372
Release: 2008-07-01
Genre: Science
ISBN: 1101029358

We’re living in the midst of a scientific revolution that’s captured the general public’s attention and imagination. The aim of this new revolution is to develop a “theory of everything”—a set of laws of physics that will explain all that can be explained, ranging from the tiniest subatomic particle to the universe as a whole. Here, readers will learn the ideas behind the theories, and their effects upon our world, our civilization, and ourselves. The Complete Idiot’s Guide® String Theory explains how this exciting idea holds up against competing theories. In this Complete Idiot’s Guide®, you get: • Clear explanation of quantum mechanics, Einstein’s theories of relativity, and how string theory unites them. • A quick, easy-to-understand overview of competing theories and how they might be tested. • Fast facts about black holes, what’s inside them, how they’re made, and why they’re so paradoxical. • Simple, smart tips to help you visualize extra dimensions.

Theory of Group Representations and Applications

Theory of Group Representations and Applications
Author: A Barut
Publisher: World Scientific Publishing Company
Total Pages: 740
Release: 1986-11-01
Genre: Mathematics
ISBN: 9813103876

The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations. Request Inspection Copy

Unstable States in the Continuous Spectra (II: Interpretation, Theory and Applications)

Unstable States in the Continuous Spectra (II: Interpretation, Theory and Applications)
Author:
Publisher: Academic Press
Total Pages: 361
Release: 2012-04-20
Genre: Science
ISBN: 0123972949

Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. This series provides a one-stop resource for following progress in this interdisciplinary area. - Publishes articles, invited reviews and proceedings of major international conferences and workshops - Written by leading international researchers in quantum and theoretical chemistry - Highlights important interdisciplinary developments