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The Strangest Man

Author : Graham Farmelo
Publisher : Faber & Faber
ISBN 13 : 0571250076
Total Pages : 554 pages
Book Rating : 4.5/5 (712 download)

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Book Synopsis The Strangest Man by : Graham Farmelo

Download or read book The Strangest Man written by Graham Farmelo and published by Faber & Faber. This book was released on 2009-01-22 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'A monumental achievement - one of the great scientific biographies.' Michael Frayn The Strangest Man is the Costa Biography Award-winning account of Paul Dirac, the famous physicist sometimes called the British Einstein. He was one of the leading pioneers of the greatest revolution in twentieth-century science: quantum mechanics. The youngest theoretician ever to win the Nobel Prize for Physics, he was also pathologically reticent, strangely literal-minded and legendarily unable to communicate or empathize. Through his greatest period of productivity, his postcards home contained only remarks about the weather.Based on a previously undiscovered archive of family papers, Graham Farmelo celebrates Dirac's massive scientific achievement while drawing a compassionate portrait of his life and work. Farmelo shows a man who, while hopelessly socially inept, could manage to love and sustain close friendship.The Strangest Man is an extraordinary and moving human story, as well as a study of one of the most exciting times in scientific history. 'A wonderful book . . . Moving, sometimes comic, sometimes infinitely sad, and goes to the roots of what we mean by truth in science.' Lord Waldegrave, Daily Telegraph

Paul Adrien Maurice Dirac

Author : Behram N. Kursunoglu
Publisher : Cambridge University Press
ISBN 13 : 9780521386883
Total Pages : 320 pages
Book Rating : 4.3/5 (868 download)

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Book Synopsis Paul Adrien Maurice Dirac by : Behram N. Kursunoglu

Download or read book Paul Adrien Maurice Dirac written by Behram N. Kursunoglu and published by Cambridge University Press. This book was released on 1990-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Dirac, who died in 1984, was without question one of the greatest physicists of the twentieth century. His revolutionary contribution to modern quantum theory is remembered for its insight and creativity. He is especially famous for his prediction of the magnetic moment and spin of the electron and for the existence of antiparticles. He was awarded the Nobel Prize for physics in 1933 at the age of 31. In this memorial volume, 24 of Dirac's friends, colleagues and contemporaries remember him with affection. There are chapters describing Dirac's personality, and many anecdotes about the man with a reputation for silence. Other chapters describe Dirac's science and its impact on modern physics.

The Principles of Quantum Mechanics

Author : Paul Adrien Maurice Dirac
Publisher : Oxford University Press
ISBN 13 : 9780198520115
Total Pages : 340 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis The Principles of Quantum Mechanics by : Paul Adrien Maurice Dirac

Download or read book The Principles of Quantum Mechanics written by Paul Adrien Maurice Dirac and published by Oxford University Press. This book was released on 1981 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

The Dirac Equation

Author : Bernd Thaller
Publisher : Springer Science & Business Media
ISBN 13 : 3662027534
Total Pages : 373 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Dirac Equation by : Bernd Thaller

Download or read book The Dirac Equation written by Bernd Thaller and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its applications are so widespread that a description of all aspects cannot be done with sufficient depth within a single volume. In this book the emphasis is on the role of the Dirac equation in the relativistic quantum mechanics of spin-1/2 particles. We cover the range from the description of a single free particle to the external field problem in quantum electrodynamics. Relativistic quantum mechanics is the historical origin of the Dirac equation and has become a fixed part of the education of theoretical physicists. There are some famous textbooks covering this area. Since the appearance of these standard texts many books (both physical and mathematical) on the non relativistic Schrodinger equation have been published, but only very few on the Dirac equation. I wrote this book because I felt that a modern, comprehensive presentation of Dirac's electron theory satisfying some basic requirements of mathematical rigor was still missing.

The Dirac Spectrum

Author : Nicolas Ginoux
Publisher : Springer
ISBN 13 : 3642015700
Total Pages : 168 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis The Dirac Spectrum by : Nicolas Ginoux

Download or read book The Dirac Spectrum written by Nicolas Ginoux and published by Springer. This book was released on 2009-05-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, it presents the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries.

Dirac Matter

Author : Bertrand Duplantier
Publisher : Birkhäuser
ISBN 13 : 3319325361
Total Pages : 139 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Dirac Matter by : Bertrand Duplantier

Download or read book Dirac Matter written by Bertrand Duplantier and published by Birkhäuser. This book was released on 2017-01-25 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insulators, of the famous equation originally invented by P.A.M. Dirac for relativistic quantum mechanics. In five highly pedagogical articles, as befits their origin in lectures to a broad scientific audience, this book explains why Dirac matters. Highlights include the detailed "Graphene and Relativistic Quantum Physics", written by the experimental pioneer, Philip Kim, and devoted to graphene, a form of carbon crystallized in a two-dimensional hexagonal lattice, from its discovery in 2004-2005 by the future Nobel prize winners Kostya Novoselov and Andre Geim to the so-called relativistic quantum Hall effect; the review entitled "Dirac Fermions in Condensed Matter and Beyond", written by two prominent theoreticians, Mark Goerbig and Gilles Montambaux, who consider many other materials than graphene, collectively known as "Dirac matter", and offer a thorough description of the merging transition of Dirac cones that occurs in the energy spectrum, in various experiments involving stretching of the microscopic hexagonal lattice; the third contribution, entitled "Quantum Transport in Graphene: Impurity Scattering as a Probe of the Dirac Spectrum", given by Hélène Bouchiat, a leading experimentalist in mesoscopic physics, with Sophie Guéron and Chuan Li, shows how measuring electrical transport, in particular magneto-transport in real graphene devices - contaminated by impurities and hence exhibiting a diffusive regime - allows one to deeply probe the Dirac nature of electrons. The last two contributions focus on topological insulators; in the authoritative "Experimental Signatures of Topological Insulators", Laurent Lévy reviews recent experimental progress in the physics of mercury-telluride samples under strain, which demonstrates that the surface of a three-dimensional topological insulator hosts a two-dimensional massless Dirac metal; the illuminating final contribution by David Carpentier, entitled "Topology of Bands in Solids: From Insulators to Dirac Matter", provides a geometric description of Bloch wave functions in terms of Berry phases and parallel transport, and of their topological classification in terms of invariants such as Chern numbers, and ends with a perspective on three-dimensional semi-metals as described by the Weyl equation. This book will be of broad general interest to physicists, mathematicians, and historians of science.

Lectures on Quantum Mechanics

Author : Paul A. M. Dirac
Publisher : Courier Corporation
ISBN 13 : 0486320286
Total Pages : 100 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Lectures on Quantum Mechanics by : Paul A. M. Dirac

Download or read book Lectures on Quantum Mechanics written by Paul A. M. Dirac and published by Courier Corporation. This book was released on 2013-05-27 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.

Dirac Operators in Representation Theory

Author : Jing-Song Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0817644938
Total Pages : 205 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dirac Operators in Representation Theory by : Jing-Song Huang

Download or read book Dirac Operators in Representation Theory written by Jing-Song Huang and published by Springer Science & Business Media. This book was released on 2007-05-27 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.

Heat Kernels and Dirac Operators

Author : Nicole Berline
Publisher : Springer Science & Business Media
ISBN 13 : 9783540200628
Total Pages : 384 pages
Book Rating : 4.2/5 (6 download)

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Book Synopsis Heat Kernels and Dirac Operators by : Nicole Berline

Download or read book Heat Kernels and Dirac Operators written by Nicole Berline and published by Springer Science & Business Media. This book was released on 2003-12-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.

Nonlinear Dirac Equation: Spectral Stability of Solitary Waves

Author : Nabile Boussaïd
Publisher : American Mathematical Soc.
ISBN 13 : 1470443953
Total Pages : 306 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Dirac Equation: Spectral Stability of Solitary Waves by : Nabile Boussaïd

Download or read book Nonlinear Dirac Equation: Spectral Stability of Solitary Waves written by Nabile Boussaïd and published by American Mathematical Soc.. This book was released on 2019-11-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a comprehensive treatment of spectral (linear) stability of weakly relativistic solitary waves in the nonlinear Dirac equation. It turns out that the instability is not an intrinsic property of the Dirac equation that is only resolved in the framework of the second quantization with the Dirac sea hypothesis. Whereas general results about the Dirac-Maxwell and similar equations are not yet available, we can consider the Dirac equation with scalar self-interaction, the model first introduced in 1938. In this book we show that in particular cases solitary waves in this model may be spectrally stable (no linear instability). This result is the first step towards proving asymptotic stability of solitary waves. The book presents the necessary overview of the functional analysis, spectral theory, and the existence and linear stability of solitary waves of the nonlinear Schrödinger equation. It also presents the necessary tools such as the limiting absorption principle and the Carleman estimates in the form applicable to the Dirac operator, and proves the general form of the Dirac-Pauli theorem. All of these results are used to prove the spectral stability of weakly relativistic solitary wave solutions of the nonlinear Dirac equation.

Spinors in Hilbert Space

Author : Paul Dirac
Publisher : Springer Science & Business Media
ISBN 13 : 1475700342
Total Pages : 97 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Spinors in Hilbert Space by : Paul Dirac

Download or read book Spinors in Hilbert Space written by Paul Dirac and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Hilbert Space The words "Hilbert space" here will always denote what math ematicians call a separable Hilbert space. It is composed of vectors each with a denumerable infinity of coordinates ql' q2' Q3, .... Usually the coordinates are considered to be complex numbers and each vector has a squared length ~rIQrI2. This squared length must converge in order that the q's may specify a Hilbert vector. Let us express qr in terms of real and imaginary parts, qr = Xr + iYr' Then the squared length is l:.r(x; + y;). The x's and y's may be looked upon as the coordinates of a vector. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector. The second vector has, at first sight, twice as many coordinates as the first one. But twice a denumerable in finity is again a denumerable infinity, so the second vector has the same number of coordinates as the first. Thus a complex Hilbert vector is not a more general kind of quantity than a real one.

General Theory of Relativity

Author : P. A.M. Dirac
Publisher : Princeton University Press
ISBN 13 : 1400884195
Total Pages : 80 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis General Theory of Relativity by : P. A.M. Dirac

Download or read book General Theory of Relativity written by P. A.M. Dirac and published by Princeton University Press. This book was released on 2016-08-10 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's general theory of relativity requires a curved space for the description of the physical world. If one wishes to go beyond superficial discussions of the physical relations involved, one needs to set up precise equations for handling curved space. The well-established mathematical technique that accomplishes this is clearly described in this classic book by Nobel Laureate P.A.M. Dirac. Based on a series of lectures given by Dirac at Florida State University, and intended for the advanced undergraduate, General Theory of Relativity comprises thirty-five compact chapters that take the reader point-by-point through the necessary steps for understanding general relativity.

Elliptic Boundary Problems for Dirac Operators

Author : Bernhelm Booß-Bavnbek
Publisher : Springer Science & Business Media
ISBN 13 : 1461203376
Total Pages : 322 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Elliptic Boundary Problems for Dirac Operators by : Bernhelm Booß-Bavnbek

Download or read book Elliptic Boundary Problems for Dirac Operators written by Bernhelm Booß-Bavnbek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.

Paul Dirac

Author : Abraham Pais
Publisher : Cambridge University Press
ISBN 13 : 9780521019538
Total Pages : 148 pages
Book Rating : 4.0/5 (195 download)

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Book Synopsis Paul Dirac by : Abraham Pais

Download or read book Paul Dirac written by Abraham Pais and published by Cambridge University Press. This book was released on 2005-09-08 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique insight into Dirac's life and work, by four internationally respected physicists.

The Collected Works of P. A. M. Dirac: Volume 1

Author : Paul Adrien Maurice Dirac
Publisher : Cambridge University Press
ISBN 13 : 9780521362313
Total Pages : 1374 pages
Book Rating : 4.3/5 (623 download)

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Book Synopsis The Collected Works of P. A. M. Dirac: Volume 1 by : Paul Adrien Maurice Dirac

Download or read book The Collected Works of P. A. M. Dirac: Volume 1 written by Paul Adrien Maurice Dirac and published by Cambridge University Press. This book was released on 1995-10-26 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of the scientific papers of one of this century's most outstanding physicists.

A Mathematical Introduction to Dirac's Formalism

Author : S.J.L. van Eijndhoven
Publisher : Elsevier
ISBN 13 : 0080880215
Total Pages : 447 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis A Mathematical Introduction to Dirac's Formalism by : S.J.L. van Eijndhoven

Download or read book A Mathematical Introduction to Dirac's Formalism written by S.J.L. van Eijndhoven and published by Elsevier. This book was released on 1986-10-01 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part.The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.

Dirac Operators in Riemannian Geometry

Author : Thomas Friedrich
Publisher : American Mathematical Soc.
ISBN 13 : 0821820559
Total Pages : 213 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Dirac Operators in Riemannian Geometry by : Thomas Friedrich

Download or read book Dirac Operators in Riemannian Geometry written by Thomas Friedrich and published by American Mathematical Soc.. This book was released on 2000 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold. The eigenvalues of the Laplacian are naturally linked to the geometry of the manifold. For manifolds that admit spin structures, one obtains further information from equations involving Dirac operators and spinor fields. In the case of four-manifolds, for example, one has the remarkable Seiberg-Witten invariants. In this text, Friedrich examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of the manifold. The presentation includes a review of Clifford algebras, spin groups and the spin representation, as well as a review of spin structures and $\textrm{spin}mathbb{C}$ structures. With this foundation established, the Dirac operator is defined and studied, with special attention to the cases of Hermitian manifolds and symmetric spaces. Then, certain analytic properties are established, including self-adjointness and the Fredholm property. An important link between the geometry and the analysis is provided by estimates for the eigenvalues of the Dirac operator in terms of the scalar curvature and the sectional curvature. Considerations of Killing spinors and solutions of the twistor equation on M lead to results about whether M is an Einstein manifold or conformally equivalent to one. Finally, in an appendix, Friedrich gives a concise introduction to the Seiberg-Witten invariants, which are a powerful tool for the study of four-manifolds. There is also an appendix reviewing principal bundles and connections. This detailed book with elegant proofs is suitable as a text for courses in advanced differential geometry and global analysis, and can serve as an introduction for further study in these areas. This edition is translated from the German edition published by Vieweg Verlag.