Geroch, Robert
Overview
Works:  25 works in 87 publications in 4 languages and 4,692 library holdings 

Genres:  Popular works 
Roles:  Author, Author of introduction, Editor 
Classifications:  QC6, 530.11 
Publication Timeline
.
Most widely held works by
Robert Geroch
General relativity from A to B by
Robert Geroch(
Book
)
24 editions published between 1978 and 2000 in 4 languages and held by 1,352 WorldCat member libraries worldwide
24 editions published between 1978 and 2000 in 4 languages and held by 1,352 WorldCat member libraries worldwide
Relativity : the special and general theory by
Albert Einstein(
Book
)
7 editions published between 2005 and 2006 in English and held by 598 WorldCat member libraries worldwide
Robert Geroch builds on Einstein's work with commentary that addresses the ideas at the heart of the theory, bringing a modern understanding of relativity to the text. He elucidates how special relativity is a reconciliation of the contradictions between the nature of light and the principle of relativity; he expands on Einstein's treatment of the geometry of spacetime and the fundamental notion of an "event"; he explains in detail, but without technical language, the equivalence of inertial and gravitational mass, a cornerstone of general relativity
7 editions published between 2005 and 2006 in English and held by 598 WorldCat member libraries worldwide
Robert Geroch builds on Einstein's work with commentary that addresses the ideas at the heart of the theory, bringing a modern understanding of relativity to the text. He elucidates how special relativity is a reconciliation of the contradictions between the nature of light and the principle of relativity; he expands on Einstein's treatment of the geometry of spacetime and the fundamental notion of an "event"; he explains in detail, but without technical language, the equivalence of inertial and gravitational mass, a cornerstone of general relativity
Mathematical physics by
Robert Geroch(
Book
)
16 editions published between 1985 and 1998 in English and Undetermined and held by 517 WorldCat member libraries worldwide
""19 . The Category of Lie Algebras""""20 . Example: The Algebra of Observables""; ""21. Example: Fock Vector Space""; ""22. Representations: General Theory""; ""23 . Representations on Vector Spaces""; ""24 . The Algebraic Categories: Summary""; ""25 . Subsets and Mappings""; ""26. Topological Spaces""; ""27. Continuous Mappings""; ""28 . The Category of Topological Spaces""; ""29. Nets""; ""30. Compactness""; ""31. The CompactOpen Topology""; ""32. Connectedness""; ""33. Example: Dynamical Systems""; ""34. Homotopy""; ""35. Homology""; ""36. Homology: Relation to Homotopy
16 editions published between 1985 and 1998 in English and Undetermined and held by 517 WorldCat member libraries worldwide
""19 . The Category of Lie Algebras""""20 . Example: The Algebra of Observables""; ""21. Example: Fock Vector Space""; ""22. Representations: General Theory""; ""23 . Representations on Vector Spaces""; ""24 . The Algebraic Categories: Summary""; ""25 . Subsets and Mappings""; ""26. Topological Spaces""; ""27. Continuous Mappings""; ""28 . The Category of Topological Spaces""; ""29. Nets""; ""30. Compactness""; ""31. The CompactOpen Topology""; ""32. Connectedness""; ""33. Example: Dynamical Systems""; ""34. Homotopy""; ""35. Homology""; ""36. Homology: Relation to Homotopy
Perspectives in computation by
Robert Geroch(
Book
)
10 editions published in 2009 in English and Undetermined and held by 182 WorldCat member libraries worldwide
Perspectives in Computation covers three broad topics: the computation process & its limitations; the search for computational efficiency; & the role of quantum mechanics in computation
10 editions published in 2009 in English and Undetermined and held by 182 WorldCat member libraries worldwide
Perspectives in Computation covers three broad topics: the computation process & its limitations; the search for computational efficiency; & the role of quantum mechanics in computation
General relativity : 1972 lecture notes by
Robert Geroch(
Book
)
3 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
3 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
Quantum field theory : 1971 lecture notes by
Robert Geroch(
Book
)
2 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
Geometrical quantum mechanics : 1974 lecture notes by
Robert Geroch(
Book
)
2 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
Singularities in the spacetime of general relativity: their definition, existence, and local characterization by
Robert Geroch(
)
3 editions published in 1967 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 5 WorldCat member libraries worldwide
Relativity : the special and the general theory by
Albert Einstein(
Book
)
3 editions published between 1961 and 2006 in English and held by 1 WorldCat member library worldwide
Physicist Albert Einstein provides a simplified explanation of his theory of relativity, an approach to the measurement and study of space and time
3 editions published between 1961 and 2006 in English and held by 1 WorldCat member library worldwide
Physicist Albert Einstein provides a simplified explanation of his theory of relativity, an approach to the measurement and study of space and time
Elementary particle physics : concepts and phenomena by
Otto Nachtmann(
)
1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide
This book grewhow could it be otherwise?out of a series oflectures which the author held at the University of Heidelberg. The purpose ofthese lectures was to give an introduction to the phenomenology of elementary particles for students both of theoretical and experimental orientation. With the present book the author has set himself the same aim. The reader is assumed to be familiar with ordinary nonrelativistic quantum mechanics as presented, e.g., in the following books: Quantum Mechanics, by L.1. Schiff (McGrawHill, New York, 1955); Quantum Mechanics, Vol. I, by K. Gottfried (W.A. Benjamin, Reading, Ma., 1966). The setup of the present book is as follows. In the first part we present some basic general principles and concepts which are used in elementary particle physics. The reader is supposed to learn here the "language" of particle physics. An introductory chapter deals with special relativity, of such funda mental importance for particle physics, which most ofthe time is high energy, i.e., highly relativistic physics. Further chapters of this first part deal with the Dirac equation, with the theory of quantized fields, and with the general definitions of the scattering and transition matrices and the crosssections
1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide
This book grewhow could it be otherwise?out of a series oflectures which the author held at the University of Heidelberg. The purpose ofthese lectures was to give an introduction to the phenomenology of elementary particles for students both of theoretical and experimental orientation. With the present book the author has set himself the same aim. The reader is assumed to be familiar with ordinary nonrelativistic quantum mechanics as presented, e.g., in the following books: Quantum Mechanics, by L.1. Schiff (McGrawHill, New York, 1955); Quantum Mechanics, Vol. I, by K. Gottfried (W.A. Benjamin, Reading, Ma., 1966). The setup of the present book is as follows. In the first part we present some basic general principles and concepts which are used in elementary particle physics. The reader is supposed to learn here the "language" of particle physics. An introductory chapter deals with special relativity, of such funda mental importance for particle physics, which most ofthe time is high energy, i.e., highly relativistic physics. Further chapters of this first part deal with the Dirac equation, with the theory of quantized fields, and with the general definitions of the scattering and transition matrices and the crosssections
Intense resonant interactions in quantum electronics by
V. M Akulin(
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The physical basis and applications of intense resonant interactions of laser light with matter are dealt with in this volume. For senior students and researchers working experimentally or theoretically in the domain of intense resonant interactions, the course gives a broad survey and detailed treatment of the topic using modern mathematical methods which are put into clear physical form. Similarities and differences in the various interaction processes are outlined, and each chapter begins with a qualitative description of the phenomenon under study. All phenomena are considered from one general view point, requiring knowledge only of basic quantum mechanics
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The physical basis and applications of intense resonant interactions of laser light with matter are dealt with in this volume. For senior students and researchers working experimentally or theoretically in the domain of intense resonant interactions, the course gives a broad survey and detailed treatment of the topic using modern mathematical methods which are put into clear physical form. Similarities and differences in the various interaction processes are outlined, and each chapter begins with a qualitative description of the phenomenon under study. All phenomena are considered from one general view point, requiring knowledge only of basic quantum mechanics
Inverse Schrödinger scattering in three dimensions by
Roger G Newton(
)
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
Notes after each chapter
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
Notes after each chapter
Finite quantum electrodynamics by
G Scharf(
)
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
In this book the author carefully analyses the role of the concept of causality in Quantum Electrodynamics. This approach makes it possible for the first time to publish a textbook on QED which not only includes full proofs and detailed calculations but is also mathematically rigorous. The book begins with Dirac's theory in part one, followed in part two by the quantum theory of free fields including a new approach to the concept of exterior fields. The third part is devoted to the study of the Smatrix of QED avoiding ultraviolet divergence. The most important physical results of QED are derived, and significant themes such as unitarity and renormalizability of the theory are discussed. This slim book addresses graduate students in physics. From the reviews: "In the summary on the back cover the unheardof statement appears that now the first (mathematically) rigorous textbook on Quantum Electrodynamics was on hand. ... In fact, "Finite Quantum Electrodynamics" does justice to this claim. And, in addition, in a pregnant, lifely form. On 220 pages G. Scharf (Zurich) succeeds in presenting a concise description of QED ... As promised, only finite quantities appear ... In Russia I often feel frustrated that I studied Latin in school and Russian was not offered. Now I have the same feeling after reading Scharf's book. I studied the wrong grammar up to now." #Translated from a review by Thomas Schücker in Physik in unserer Zeit#1
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
In this book the author carefully analyses the role of the concept of causality in Quantum Electrodynamics. This approach makes it possible for the first time to publish a textbook on QED which not only includes full proofs and detailed calculations but is also mathematically rigorous. The book begins with Dirac's theory in part one, followed in part two by the quantum theory of free fields including a new approach to the concept of exterior fields. The third part is devoted to the study of the Smatrix of QED avoiding ultraviolet divergence. The most important physical results of QED are derived, and significant themes such as unitarity and renormalizability of the theory are discussed. This slim book addresses graduate students in physics. From the reviews: "In the summary on the back cover the unheardof statement appears that now the first (mathematically) rigorous textbook on Quantum Electrodynamics was on hand. ... In fact, "Finite Quantum Electrodynamics" does justice to this claim. And, in addition, in a pregnant, lifely form. On 220 pages G. Scharf (Zurich) succeeds in presenting a concise description of QED ... As promised, only finite quantities appear ... In Russia I often feel frustrated that I studied Latin in school and Russian was not offered. Now I have the same feeling after reading Scharf's book. I studied the wrong grammar up to now." #Translated from a review by Thomas Schücker in Physik in unserer Zeit#1
Random walks, critical phenomena, and triviality in quantum field theory by
Roberto Fernández(
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The subject of this book is equilibrium statistical mechanics, in particular the theory of critical phenomena, and quantum field theory. The central theme is the use of randomwalk representations as a tool to derive correlation inequalities. The consequences of these inequalities for criticalexponent theory and the triviality question in quantum field theory are expounded in detail. The book contains some previously unpublished results. It addresses both the researcher and the graduate student in modern statistical mechanics and quantum field theory
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The subject of this book is equilibrium statistical mechanics, in particular the theory of critical phenomena, and quantum field theory. The central theme is the use of randomwalk representations as a tool to derive correlation inequalities. The consequences of these inequalities for criticalexponent theory and the triviality question in quantum field theory are expounded in detail. The book contains some previously unpublished results. It addresses both the researcher and the graduate student in modern statistical mechanics and quantum field theory
Large scale dynamics of interacting particles by
Herbert Spohn(
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the derivation of large scale dynamics from microscopic models consisting of a very large number of interacting particles. In this monograph the author treats various macroscopic equations, in particular the Boltzmann equation for a low density fluid of hard spheres and the nonlinear diffusion equation for stochastic lattice gases. Also discussed are Gaussian fluctuations around the large scale deterministic motion, and the dynamics of tracer particles. The book addresses both researchers and students. Much of the material is presented here for the first time in book form
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the derivation of large scale dynamics from microscopic models consisting of a very large number of interacting particles. In this monograph the author treats various macroscopic equations, in particular the Boltzmann equation for a low density fluid of hard spheres and the nonlinear diffusion equation for stochastic lattice gases. Also discussed are Gaussian fluctuations around the large scale deterministic motion, and the dynamics of tracer particles. The book addresses both researchers and students. Much of the material is presented here for the first time in book form
General relativity and relativistic astrophysics by
Norbert Straumann(
)
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
This book provides a completely revised and expanded version of the previous classic edition General Relativity and Relativistic Astrophysics. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars  our best laboratories for general relativity  are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten's proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
This book provides a completely revised and expanded version of the previous classic edition General Relativity and Relativistic Astrophysics. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars  our best laboratories for general relativity  are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten's proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum
Advanced quantum theory and its applications through Feynman diagrams by
Michael D Scadron(
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
The goal of this textbook is to understand the forces of nature in their simplest and most general terms. It begins in Part 1 with a detailed discussion of transformation theory, which is used by the author to formulate advanced quantum theory in grouptheoretical language. Part 2 deals with scattering theory and includes many applications to nuclear, atomic, and solidstate physics. The central theme of the book, however, is presented in Part 3: relativistic Feynman diagrams. The student learns to use them in a most natural way and will find a thorough discussion of the lowestorder electromagnetic, strong, weak, and gravitational interactions. The last chapter deals with the finite parts of higherorder graphs in field theory and dispersion theory. In the second edition errors have been eliminated and the text has been enhanced with the inclusion of new sections on the quark model
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
The goal of this textbook is to understand the forces of nature in their simplest and most general terms. It begins in Part 1 with a detailed discussion of transformation theory, which is used by the author to formulate advanced quantum theory in grouptheoretical language. Part 2 deals with scattering theory and includes many applications to nuclear, atomic, and solidstate physics. The central theme of the book, however, is presented in Part 3: relativistic Feynman diagrams. The student learns to use them in a most natural way and will find a thorough discussion of the lowestorder electromagnetic, strong, weak, and gravitational interactions. The last chapter deals with the finite parts of higherorder graphs in field theory and dispersion theory. In the second edition errors have been eliminated and the text has been enhanced with the inclusion of new sections on the quark model
Solvable models in quantum mechanics by
Sergio Albeverio(
)
1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide
Next to the harmonic oscillator and the Coulomb potential the class of twobody models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics
1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide
Next to the harmonic oscillator and the Coulomb potential the class of twobody models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics
Oscillations and waves in strong gravitational and electromagnetic fields by
N. R Sibgatullin(
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
This book emerged from a course given at Moscow State University and provides an introduction to current research in general relativity, relativistic gas dynamics, and cosmology, touching as well on the different methods used in wave theory. Each chapter begins with an elementary introduction and then proceeds to a more sophisticated discussion including a presentation of the current state of the art. Topics covered include: original results of and approaches to the mathematical theory of strong gravitational and electromagnetic fields in general relativity which reduce the problem to a single linear integral equation; the theory of black holes; wave propagation in the vicinity of black holes; the effect of strong external electromagnetic fields on gravitational and electromagnetic waves of short length; the theory of integrable nonlinear twodimensional systems in theoretical physics; methods of relativistic and magneto gas dynamics in cosmology including shock and acoustic waves; hydrodynamical effects due to the rotation of a pulsar in a closed binary system
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
This book emerged from a course given at Moscow State University and provides an introduction to current research in general relativity, relativistic gas dynamics, and cosmology, touching as well on the different methods used in wave theory. Each chapter begins with an elementary introduction and then proceeds to a more sophisticated discussion including a presentation of the current state of the art. Topics covered include: original results of and approaches to the mathematical theory of strong gravitational and electromagnetic fields in general relativity which reduce the problem to a single linear integral equation; the theory of black holes; wave propagation in the vicinity of black holes; the effect of strong external electromagnetic fields on gravitational and electromagnetic waves of short length; the theory of integrable nonlinear twodimensional systems in theoretical physics; methods of relativistic and magneto gas dynamics in cosmology including shock and acoustic waves; hydrodynamical effects due to the rotation of a pulsar in a closed binary system
Quantum mechanics I by
A Galindo(
)
2 editions published between 1990 and 1991 in English and held by 0 WorldCat member libraries worldwide
This is a textbook on nonrelativistic quantum mechanics that emphasizes clarification of the nature of the basic postulates and the interpretation of the theory. It contains special material, often only accessible in scientific journals, on bound states, scattering theory, and both analytical and approximation techniques. Applications to many branches of physics are given. Among the topics covered are onedimensional problems, angular momentum, twoparticle systems, symmetry transformations, collision theory, the WKB method, and stationary and timedependent perturbation and variational techniques. Particles in an electromagnetic field, manybody systems, atoms, and radiation theory are studied. The book is a considerably improved and completely updated English translation of a very successful Spanish textbook and is aimed at students in their second year of university
2 editions published between 1990 and 1991 in English and held by 0 WorldCat member libraries worldwide
This is a textbook on nonrelativistic quantum mechanics that emphasizes clarification of the nature of the basic postulates and the interpretation of the theory. It contains special material, often only accessible in scientific journals, on bound states, scattering theory, and both analytical and approximation techniques. Applications to many branches of physics are given. Among the topics covered are onedimensional problems, angular momentum, twoparticle systems, symmetry transformations, collision theory, the WKB method, and stationary and timedependent perturbation and variational techniques. Particles in an electromagnetic field, manybody systems, atoms, and radiation theory are studied. The book is a considerably improved and completely updated English translation of a very successful Spanish textbook and is aimed at students in their second year of university
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Related Identities
 Einstein, Albert 18791955 Author
 Cassidy, David C. 1945 Author of introduction
 Lawson, Robert W.
 Lawson, Robert W. Translator
 Beiglböck, Wolf Author
 Birman, Joseph L.
 Lieb, Elliott H.
 Agrait de la Puente, Nicolás
 山岸, 賢吾 1954
 Penrose, Roger Author of introduction
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Associated Subjects
Astronomy Astrophysics Black holes (Astronomy) Chemistry Computational complexity Critical phenomena (Physics) Distribution (Probability theory) Einstein, Albert, Electromagnetic fields Feynman diagrams General relativity (Physics) Geometry, Differential Global analysis (Mathematics) Gravitational fields Hydrodynamics Inverse problems (Differential equations) Knowledge, Theory of Magnetohydrodynamic waves Manybody problem Mathematical physics Mathematics Mechanics Miniature books Nuclear physics Particles (Nuclear physics) Perturbation (Quantum dynamics) Physical geography Physical organic chemistry Physics Quantum computers Quantum electrodynamics Quantum electronics Quantum field theory Quantum theory Quantum theoryMathematical models Random walks (Mathematics) Relativistic astrophysics Relativity Relativity (Physics) Resonance Scattering (Physics)Mathematics Schrödinger equation Science Singularities (Mathematics) Space and time Special relativity (Physics) Thermodynamics United States
Alternative Names
Geroch, Robert P.
Robert Geroch Amerikaans natuurkundige
Robert Geroch amerikansk fysikar
Robert Geroch amerikansk fysiker
Robert Geroch USamerikanischer theoretischer Physiker
Роберт Герох
רוברט ג'רוש
رابرت گروچ فیزیکدان آمریکایی
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