6 edition of **Non-linear equations in classical and quantum field theory** found in the catalog.

- 166 Want to read
- 34 Currently reading

Published
**1985**
by Springer-Verlag in Berlin, New York
.

Written in English

- Differential equations, Nonlinear -- Congresses.,
- Mathematical physics -- Congresses.,
- Quantum field theory -- Congresses.,
- Statistical mechanics -- Congresses.

**Edition Notes**

Includes bibliographies.

Statement | edited by N. Sanchez. |

Series | Lecture notes in physics ;, 226 |

Contributions | Sanchez, N. 1952- |

Classifications | |
---|---|

LC Classifications | QC20.7.D5 N65 1985 |

The Physical Object | |

Pagination | vii, 400 p. : |

Number of Pages | 400 |

ID Numbers | |

Open Library | OL3024401M |

ISBN 10 | 038715213X |

LC Control Number | 85004723 |

The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to Brand: Springer International Publishing. First of all, allow me to explain what known physics can do, before I explain where the problems lie. Contrary to what you may occasionally hear, we can do quantum field theory on the curved spacetime background of general relativity. The theory h.

Interim report}, author = {Mitter, S.K.}, abstractNote = {The main thesis of this paper is that there are striking similarities between the mathematical problems of stochastic system theory, notably linear and non-linear filtering theory, and mathematical developments underlying quantum mechanics and quantum field theory. Thus the mathematical. When going from particle mechanics to field theory, what changes is the number of space-time dimensions, not the type of non-linearities in the equations of motion. So there is no mathematical reason to expect a non-linear modification of quantum mechanics in the transition.

Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of. One theory that can do just that, namely the unification of gravitation and electromagnetism, is the unified quantum field theory of Burkhard Heim. There is no theory in physics that can prove to be “right” – these kinds of theories don’t work that way.

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Non-Linear Equations in Classical and Quantum Field Theory, Lectures Notes in Physics, Volpages () Proceedings of a Seminar Series held at DAPHE, Observatoire de Meudon, and Author: Norma G.

Sanchez. Non-Linear Equations in Classical and Quantum Field Theory Proceedings of a Seminar Series Held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, Between October and October Non-Linear Equations in Classical and Quantum Field Theory Proceedings of a Seminar Series held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, Between October and October Editors: Sanchez, Norma (Ed.) Free Preview.

Quantum field theory is the result of the combination of classical field theory, quantum mechanics, and special relativity.: xi A brief overview of these theoretical precursors is in order.

The earliest successful classical field theory is one that emerged from Newton's law of universal gravitation, despite the complete absence of the concept of fields from his treatise Philosophiæ.

A good starting point is electromagnetism as covered in Griffiths “Introduction to Electrodynamics”. There you learn all the basics of vector fields in 3 dimensional space and in the later chapters the Lagrangian formulation in terms of U(1) value.

Get this from a library. Non-linear equations in classical and quantum field theory: proceedings of a seminar series held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, between October and October [N Sanchez;]. Non-Linear Equations in Classical and Quantum Field Theory: Proceedings of a Seminar Series held at DAPHE, Observatoire de Meudon, and LPTHE, and October (Lecture Notes in Physics) Free PDF d0wnl0ad, audio books, books to read, good books to read, cheap books, good books, online books, books online, book reviews epub, read books online.

An exact classical field theory for nonlinear quantum equations is presented herein. It has been applied recently to a nonlinear Schrödinger equation, and it is shown herein to hold also for a.

Norma G. Sanchez is the author of Non Linear Equations In Classical And Quantum Field Theory ( avg rating, 1 rating, 0 reviews, published ), Curr 2/5(1). One of the most common nonlinear equations used in the study of quantum mechanics is the Gross-Pitaevskii equation, which is a special type of nonlinear Schrodinger equation and emerges naturally from the many-body Schrodinger equation under the Hartree-Fock approximation.

Also, the classical equations of motion for any interacting quantum field theory are nonlinear, which is why most of these. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to 4/5(1).

() On a Classical Limit of Quantum Theory and the Non-Linear Hartree Equation. In: Alon N., Bourgain J., Connes A., Gromov M., Milman V. (eds) Visions in Cited by: The geometric and quantum renormalization properties of the most general non-linear sigma-models are considered in detail within the framework of quantum perturbation theory.

The main applications to be considered in the book can be found in string theory, conformal field theory, and general relativity. Another class of solutions, more appropriate to nonlinear field theories, are the celebrated solitons, which do have a quantum meaning - they are the starting point of a semi-classical description of coherently bound quantum states [22].

A soliton should be a static solution, have finite energy, and be stable in the sense that small. Quantum Physics is the study of the behavior of matter and energy at the molecular, atomic, nuclear, and even smaller microscopic levels.

Like the other titles in our For Dummies Workbook series, Quantum Physics Workbook For Dummies allows you to hone your skills at solving the difficult and often confusing equations you encounter in this subject. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to.

It is translated from the Russian language. The volume describes the basic theory of quantum electronics, and shows how the concepts and equations followed in quantum electronics arise from the basic principles of theoretical physics.

The book then briefly discusses the. Petiau, "On the quantum theory of fields that are associated with some simple models of nonlinear field equations," Nuov. Cim. 40 (), G. Petiau, "On the representation of nonlinear, first-order differential systems of corpuscular models that are defined by the association of fields of micro-physical, electromagnetic, and.

Basics of Classical Field Theory Quantization of Classical Field Theories (I) Quantization of Classical Field Theories (II) Perturbation Theory, Variational Approach and Correlation Functions Introduction to Berry Phase and Gauge Theory Introduction to Effective Field Theory, Phases, and Phase Transitions Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics.

or maybe these are toy models for other non-linear differential equations, etc. etc. $\endgroup$ – user Oct 18 '11 at 1 As we know from quantum field theory, we can start with some approximation (weak coupling). This chapter reviews some equilibrium properties in Statistical Quantum Field Theory, that is, relativistic Quantum Field Theory (QFT) at finite temperature, a relativistic extension of the statistical quantum theories discussed in SectionsIt discusess, in particular, the limit of high temperature or the situation of finite temperature phase transitions.Classical field theory does not, however, account for the quantum-mechanical aspects of such physical phenomena.

For instance, it is known from quantum mechanics that certain aspects of electromagnetism involve discrete particles—photons—rather than continuous fields.

The business of quantum field theory is to write down a field that is,File Size: KB.The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models.

The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory.