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Mathematics of Relativity
Par George Yuri Rainich. 2014
Based on the ideas of Einstein and Minkowski, this concise treatment is derived from the author's many years of teaching…
the mathematics of relativity at the University of Michigan. Geared toward advanced undergraduates and graduate students of physics, the text covers old physics, new geometry, special relativity, curved space, and general relativity.Beginning with a discussion of the inverse square law in terms of simple calculus, the treatment gradually introduces increasingly complicated situations and more sophisticated mathematical tools. Changes in fundamental concepts, which characterize relativity theory, and the refinements of mathematical technique are incorporated as necessary. The presentation thus offers an easier approach without sacrifice of rigor.Quantum Mechanics with Applications
Par Prof David B Beard, Kevin B Beard, Prof George B Beard. 1970
This introductory text emphasizes Feynman's development of path integrals and its application to wave theory for particles. Suitable for undergraduate…
and graduate students of physics, the well-written, clear, and rigorous text was written by two of the nation's leading authorities on quantum physics. A solid foundation in quantum mechanics and atomic physics is assumed.Early chapters provide background in the mathematical treatment and particular properties of ordinary wave motion that also apply to particle motion. The close relation of quantum theory to physical optics is stressed. Subsequent sections emphasize the physical consequences of a wave theory of material properties, and they offer extensive applications in atomic physics, nuclear physics, solid state physics, and diatomic molecules. Four helpful Appendixes supplement the text.Problems in Quantum Mechanics
Par V I Kogan, Harold Gersch, V M Galitskiy. 2011
Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus…
completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics.The mathematics employed in the proofs of the problems--asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases--are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.Statistical Mechanics: Principles and Selected Applications
Par Terrell L Hill. 1956
Before the publication of this standard, oft-cited book, there were few if any statistical-mechanics texts that incorporated reviews of both…
fundamental principles and recent developments in the field.In this volume, Professor Hill offers just such a dual presentation -- a useful account of basic theory and of its applications, made accessible in a comprehensive format. The book opens with concise, unusually clear introductory chapters on classical statistical mechanics, quantum statistical mechanics and the relation of statistical mechanics to thermodynamics. Then follows a wide-ranging, detailed examination of various applications. Chapter 4 deals with fluctuations. The fifth chapter treats the theory of imperfect gases and condensation, largely following Mayer's theory but also giving some new, alternative derivations and discussing in the final section Yang and Lee's theory. The sixth chapter is devoted to a discussion of distribution functions and the theory of the liquid state. Chapter 7 deals with nearest-neighbor (Ising) lattice statistics, while the last chapter discusses free-volume and hole theories of liquids and solids.Written primarily for graduate students and researchers in chemistry, physics and biology who already have some acquaintance with statistical mechanics, the book lends itself to use as a text for a second course in statistical mechanics, as a supplement to a first course or for self-study or reference. The level is neither introductory nor highly sophisticated; the author has generally emphasized material that is not available in other books. In addition, selected bibliographic references at the end of each chapter suggest supplementary reading.Quantum Mechanics
Par Albert Messiah. 2014
This volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for…
professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment originally appeared in a two-volume French edition. This convenient single-volume translation begins with formalism and its interpretation, starting with the origins of quantum theory and examinations of matter waves and the Schrödinger equation, one-dimensional quantized systems, the uncertainty relations, and the mathematical framework and physical content of formalism. The second half opens with an exploration of symmetries and invariance, including a consideration of angular momentum, identical particles and the Pauli exclusion principle, invariance and conservation laws, and time reversal. Methods of approximation include those involving stationary perturbations, the equation of motion, variational method, and collision theory. The final chapters review the elements of relativistic quantum mechanics, and each of the two volumes concludes with useful appendixes.Computerphysik: Einführung, Beispiele und Anwendungen
Par Stefan Gerlach. 2016
Dieses Lehrbuch bietet dem Leser eine aktuelle Einführung in das Lösen von physikalischen Problemen mit dem Computer. Es werden die…
Grundlagen der Computernutzung, der Programmierung sowie der wichtigsten numerischen Methoden besprochen und anhand vieler Beispiele und Übungsaufgaben mit zunehmendem Bezug zur Physik verdeutlicht. Die Nutzung des Betriebssystems Linux und die Programmierung in C und Python bilden dabei den Schwerpunkt. Der wichtigste Teil des Buches sind die Projekte, in denen die zuvor besprochenen Grundlagen auf unterschiedliche Probleme der Physik angewendet werden. Die Projekte umfassen viele wichtige Beispiele aus der Computerphysik (u. a. den Oszillator und Anfangswertprobleme) und diskutieren deren Anwendungen im Detail. Der Leser erhält damit das nötige Rüstzeug, um selbstständig physikalische Probleme mit Hilfe des Computers zu lösen. Zahlreiche Übungsaufgaben helfen dabei.This book proposes intriguing arguments that will enable students to achieve a deeper understanding of electromagnetism, while also presenting a number of classical…
methods for solving difficult problems. Two chapters are devoted to relativistic electrodynamics, covering all aspects needed for a full comprehension of the nature of electric and magnetic fields and, subsequently, electrodynamics. Each of the two final chapters examines a selected experimental issue, introducing students to the work involved in actually proving a law or theory. Classical books on electricity and magnetism are mentioned in many references, helping to familiarize students with books that they will encounter in their further studies. Various problems are presented, together with their worked-out solutions. The book is based on notes from special lectures delivered by the author to students during the second year of a BSc course in Physics, but the subject matter may also be of interest to senior physicists, as many of the themes covered are completely ignored or touched only briefly in standard textbooks.A Course in Classical Physics 3 -- Electromagnetism: Electromagnetism (Undergraduate Lecture Notes in Physics)
Par Alessandro Bettini. 2017
Focusing on electromagnetism, this third volume of a four-volume textbook covers the electric field under static conditions, constant electric currents…
and their laws, the magnetic field in a vacuum, electromagnetic induction, magnetic energy under static conditions, the magnetic properties of matter, and the unified description of electromagnetic phenomena provided by Maxwell's equations. The four-volume textbook as a whole covers electromagnetism, mechanics, fluids and thermodynamics, and waves and light, and is designed to reflect the typical syllabus during the first two years of a calculus-based university physics program. Throughout all four volumes, particular attention is paid to in-depth clarification of conceptual aspects, and to this end the historical roots of the principal concepts are traced. Emphasis is also consistently placed on the experimental basis of the concepts, highlighting the experimental nature of physics. Whenever feasible at the elementary level, concepts relevant to more advanced courses in quantum mechanics and atomic, solid state, nuclear, and particle physics are included. The textbook offers an ideal resource for physics students, lecturers and, last but not least, all those seeking a deeper understanding of the experimental basics of physics.Characterizing Entanglement and Quantum Correlations Constrained by Symmetry (Springer Theses)
Par Jordi Tura i Brugu s. 2017
This thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries It includes…
original results as well as detailed methods and explanations for a number of different threads of research positive partial transpose PPT entanglement in the symmetric states a novel experimentally friendly method to detect nonlocal correlations in many-body systems the non-equivalence between entanglement and nonlocality and elemental monogamies of correlations Entanglement and nonlocal correlations constitute two fundamental resources for quantum information processing as they allow novel tasks that are otherwise impossible in a classical scenario However their elusive characterization is still a central problem in quantum information theory The main reason why such a fundamental issue remains a formidable challenge lies in the exponential growth in complexity of the Hilbert space as well as the space of multipartite correlations Physical systems of interest on the other hand display symmetries that can be exploited to reduce this complexity opening the possibility that some of these questions become tractable for such systemsStatistical Physics
Par Franz Mandl. 1988
The Manchester Physics Series General Editors D J Sandiford F Mandl A C…
Phillips Department of Physics and Astronomy University of Manchester Properties of Matter B H Flowers and E Mendoza Optics Second Edition F G Smith and J H Thomson Statistical Physics Second Edition E Mandl Electromagnetism Second Edition I S Grant and W R Phillips Statistics R J Barlow Solid State Physics Second Edition J R Hook and H E Hall Quantum Mechanics F Mandl Particle Physics Second Edition B R Martin and G Shaw The Physics of Stars Second Edition A C Phillips Computing for Scientists R J Barlow and A R Barnett Statistical Physics Second Edition develops a unified treatment of statistical mechanics and thermodynamics which emphasises the statistical nature of the laws of thermodynamics and the atomic nature of matter Prominence is given to the Gibbs distribution leading to a simple treatment of quantum statistics and of chemical reactions Undergraduate students of physics and related sciences will find this a stimulating account of the basic physics and its applications Only an elementary knowledge of kinetic theory and atomic physics as well as the rudiments of quantum theory are presupposed for an understanding of this book Statistical Physics Second Edition features A fully integrated treatment of thermodynamics and statistical mechanics A flow diagram allowing topics to be studied in different orders or omitted altogether Optional starred and highlighted sections containing more advanced and specialised material for the more ambitious reader Sets of problems at the end of each chapter to help student understanding Hints for solving the problems are given in an AppendixControl of Magnetotransport in Quantum Billiards: Theory, Computation and Applications (Lecture Notes in Physics #927)
Par Christian Morfonios, Peter Schmelcher. 2017
In this book the coherent quantum transport of electrons through two-dimensional mesoscopic structures is explored in dependence of the interplay…
between the confining geometry and the impact of applied magnetic fields aiming at conductance controllability After a top-down insightful presentation of the elements of mesoscopic devices and transport theory a computational technique which treats multiterminal structures of arbitrary geometry and topology is developed The method relies on the modular assembly of the electronic propagators of subsystems which are inter- or intra-connected providing large flexibility in system setups combined with high computational efficiency Conductance control is first demonstrated for elongated quantum billiards and arrays thereof where a weak magnetic field tunes the current by phase modulation of interfering lead-coupled states geometrically separated from confined states Soft-wall potentials are then employed for efficient and robust conductance switching by isolating energy persistent collimated or magnetically deflected electron paths from Fano resonances In a multiterminal configuration the guiding and focusing property of curved boundary sections enables magnetically controlled directional transport with input electron waves flowing exclusively to selected outputs Together with a comprehensive analysis of characteristic transport features and spatial distributions of scattering states the results demonstrate the geometrically assisted design of magnetoconductance control elements in the linear response regimeA Group Theoretic Approach to Quantum Information
Par Masahito Hayashi. 2017
This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group…
symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.Atlas of Climate Change: Responsibility and Obligation of Human Society (Springer Atmospheric Sciences)
Par Yan Guo, Wenjie Dong, Jianbin Huang, Fumin Ren. 2016
This atlas and reference resource assembles the latest research findings on the responsibility and obligation of human society for historical…
climate change. It clearly and quantitatively estimates to what extent the developed and developing world are responsible for historical climate change with regard to anthropogenic carbon and sulfur emissions as well as global carbon trade, and so provides a potential tool to address the controversial issue of carbon emission reduction in international climate negotiations. Since the quantitative attribution of historical climate change is calculated based on CMIP5 models, the fidelity of these models in representing the observed climate change is also evaluated. In addition to evaluation, future climate change based on CMIP5 models is also shown both on global and regional scales (especially for China and its surrounding areas ) in terms of surface air temperature, precipitation, sea surface temperature, atmospheric circulations and Arctic Sea ice. The atlas also makes various comparisons among different multi-model ensemble methods in order to obtain the most reliable estimation.An Introduction to Theory and Applications of Quantum Mechanics (Dover Books on Physics)
Par Amnon Yariv. 1982
Based on a California Institute of Technology course this outstanding introduction to formal quantum mechanics is geared toward advanced…
undergraduates in applied physics The text addresses not only the basic formalism and related phenomena but also takes students a step further to a consideration of generic and important applications The treatment s exploration of a wide range of topics culminates in two eminently practical subjects the semiconductor transistor and the laser Subjects include operators Eigenvalue problems the harmonic oscillator angular momentum matrix formulation of quantum mechanics perturbation theory the interaction of electromagnetic radiation with atomic systems and absorption and dispersion of radiation in atomic media Additional topics include laser oscillation quantum statistics applications of the statistical distribution laws the interaction of electrons and nuclei with magnetic fields and charge transport in semiconductors Each chapter concludes with a set of problemsA History of the Solar System
Par Claudio Vita. 2016
This well illustrated book presents a compact history of the Solar System from its dusty origins 4 600 000 years…
ago to the present day Its primary aim is to show how the planets and their satellites comets meteors interplanetary dust solar radiation and cosmic rays continually interact sometimes violently and it reflects humanity s progress in exploring and interpreting this history The book is intended for a general readership at a time when human and robotic exploration of space is often in the news and should also appeal to students at all levels It covers the essentials but refers to a large literature which can be accessed via the internetComputer-Based Structure Elucidation from Spectral Data: The Art of Solving Problems (Lecture Notes in Chemistry #89)
Par Antony J. Williams, Mikhail E. Elyashberg. 2015
Here the authors introduce readers to solving molecular structure elucidation problems using the expert system ACD Structure Elucidator …
They explain in detail the concepts of the Computer-Assisted Structure Elucidation CASE approach and point out the crucial role of understanding the axiomatic nature of the data used to deduce the structure Aspects covered include the main blocks of the expert system and essential features of the mathematical algorithms used Graduate and PhD students as well as practicing chemists are provided with a detailed explanation of the various practical approaches depending on available spectral data peculiarities and the complexity of the unknown structure This is supported by a large number of real-world completed examples most of which are related to the structure elucidation of natural product molecules containing unusual skeletons Dedicated software and further supplementary material are available at www acdlabs com TeachingSEDas Buch der Klänge: Eine Reise zu den akustischen Wundern der Welt
Par Trevor Cox. 2015
Mit dem Buch der Kl nge f hrt uns der britische Wissenschaftler Trevor Cox in verborgene H …
rwelten Es weckt in uns das Verlangen in einem Alltag in dem das Visuelle so sehr dominiert doch einmal genauer hinzuh ren - und unsere Ohren f r das wunderbare Klangdurcheinander um uns herum zu ffnen Als Fachmann f r technische Akustik hat sich Trevor Cox lange damit besch ftigt unerw nschte Ger usche verschwinden zu lassen ob Echos in Konzerts len oder L rm in Klassenzimmern Eines Tages aber verschaffte ihm ein Ausflug in die Londoner Kanalisation ein erstaunliches H rerlebnis - und die Erkenntnis Statt seltsame Ger usche abzustellen sollten wir die seltsamsten und bizarrsten akustischen Effekte zu sch tzen lernen als die Klangwunder unserer Erde Das Buch der Kl nge beschreibt seine Suche nach diesen Klangwundern In der Mojave-W ste besucht Cox singende D nen In Frankreich entdeckt er ein Echo das zu Scherzen aufgelegt ist In Kalifornien f hrt er eine singende Stra e entlang die die Ouvert re zu Wilhelm Tell erklingen l sst wenn auch ziemlich schief Und eine Entdeckung ist so beeindruckend dass sie einen Eintrag ins Guinness-Buch der Rekorde verdient hatThis book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour,…
shaped by the author's biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.The Cosmic Code: Quantum Physics As The Language Of Nature (Dover Books On Physics Series)
Par Heinz R. Pagels. 1982
This is one of the most important books on quantum mechanics ever written for general readers, in which an eminent…
physicist discusses and explains the core concepts of physics without resorting to complicated mathematics. "Can be read by anyone. I heartily recommend it!" -- New York Times Book Review. 1982 edition.During the past century world-wide energy consumption has risen dramatically which leads to a quest for new…
energy sources Fusion of hydrogen atoms in hot plasmas is an attractive approach to solve the energy problem with abundant fuel inherent safety and no long-lived radioactivity However one of the limits on plasma performance is due to the various classes of magneto-hydrodynamic instabilities that may occur The physics and control of these instabilities in modern magnetic confinement fusion devices is the subject of this book Written by foremost experts the contributions will provide valuable reference and up-to-date research reviews for old hands and newcomers alike