Methods Of Bosonic Path Integrals Representations

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Methods Of Bosonic Path Integrals Representations

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Author : Luiz C. L. Botelho
language : en
Publisher: Nova Publishers
Release Date : 2006

Methods Of Bosonic Path Integrals Representations written by Luiz C. L. Botelho and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

The special Internet categories are: Physics; Engineering Quantum Physics; and Applied Mathematics. The emphasis in this monograph is on non-trivial path integral variable change on previously obtained path integral solutions for difficult stochastic and functional equations by keeping the main objective to arrive at...another path integral which the author expects to be in a 'final' suitable form of become predictive. Note that path-integrals are mathematical objects specially tailored to the work of our modern 'slavers': computer machines.

Methods Of Bosonic And Fermionic Path Integrals Representations

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Author : Luiz C. L. Botelho
language : en
Publisher:
Release Date : 2009

Methods Of Bosonic And Fermionic Path Integrals Representations written by Luiz C. L. Botelho and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Integral representations categories.

This monograph is written on topics in the subject of Continuum Quantum Geometric Path Integrals applied to Yang-Mills Theory and variants (QCD, Chern-Simons Theory, Ising Models, etc.)- the called Random Geometry in Quantum Field Theory, which are hoped to be useful to graduate students of quantum physics and applied mathematics, with a focused weight towards to those interested in applying the concepts of continuum quantum geometry in other branches of modern physics, like superconductivity, nuclear physics, polymer theory, string theory, etc. The methodology used to in this monograph is the same exposed in previous work in random classical physics: "Methods of Bosonic Path Integrals Representations- Random Systems in Classical Physics - Nova Publishers, (2006) U.S.A.': Expositions and formulas should be chewed, swallowed and digested. This process of analysis should not be abandoned until it yields a comprehension of the overall pattern of the proposed ideas and math, so after this step, one is ready to make improvements, corrections or criticisms on the path integrals representations of this book.

Lecture Notes In Topics In Path Integrals And String Representations

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Author : Luiz C L Botelho
language : en
Publisher: World Scientific
Release Date : 2017-02-03

Lecture Notes In Topics In Path Integrals And String Representations written by Luiz C L Botelho and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with Science categories.

'All are every interesting topics treated with a high level of mathematical sophistication. One of the very useful tricks the author repeatedly resorts to is the introduction of one-parameter families of operators interpolating between two operators which appear naturally in the formalism. From this one-parameter family a differential equation for the determinant (or ratio of determinants) or for correlation functions is derived, which can then be solved. This is a very simple, elegant and powerful technique.'Mathematical Reviews ClippingsFunctional Integrals is a well-established method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and string theory. This book presents a unique, original and modern treatment of strings representations on Bosonic Quantum Chromodynamics and Bosonization theory on 2d Gauge Field Models, besides of rigorous mathematical studies on the analytical regularization scheme on Euclidean quantum field path integrals and stochastic quantum field theory. It follows an analytic approach based on Loop space techniques, functional determinant exact evaluations and exactly solubility of four dimensional QCD loop wave equations through Elfin Botelho fermionic extrinsic self avoiding string path integrals.

Lectures In Theoretical Physics

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Author :
language : en
Publisher:
Release Date : 1964

Lectures In Theoretical Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Nuclear physics categories.

Path Integral Quantization And Stochastic Quantization

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Author : Michio Masujima
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-21

Path Integral Quantization And Stochastic Quantization written by Michio Masujima and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-21 with Science categories.

In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal ism. The Hamiltonian formalism is derived from the Lagrangian·formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger's wave mechan ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of "geometrical mechanics". Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at "wave mechanics". The second formalism ofquantum mechanics is Heisenberg's "matrix me chanics". In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms make up the Hamiltonian.formalism of quantum me chanics.

Path Integrals

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Author : George J. Papadopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Path Integrals written by George J. Papadopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.

The Advanced Study Institute on "Path Integrals and Their Applications in Quantum, Statistical, and Solid State Physics" was held at the University of Antwerpen (R.U.C.A.), July 17-30, 1977. The Institute was sponsored by NATO. Co-sponsors were: A.C.E.C. (Belgium), Agfa-Gevaert (Belgium), l'Air Li~uide BeIge (Belgium), Be1gonucleaire (Belgium), Bell Telephone Mfg. Co. (Belgium), Boelwerf (Belgium), Generale BankmaatschappiJ (Belgium), I.B.M. (Belgium), Kredietbank (Belgium), National Science Foundation (U.S.A.), Siemens (Belgium). A total of 100 lecturers and partici pants attended the Institute. The development of path (or functional) integrals in relation to problems of stochastic nature dates back to the early 20's. At that time, Wiener succeeded in obtaining the fundamental solution of the diffusion e~uation using Einstein's joint probability of finding a Brownian particle in a succession of space intervals during a corresponding succession of time intervals. Dirac in the early 30's sowed the seeds of the path integral formulation of ~uantum mecha nics. However, the major and decisive step in this direction was taken with Feynman's works in ~uantum and statistical physics, and quantum electrodynamicso The applications now extend to areas such as continuous mechanics, and recently functional integration methods have been employed by Edwards for the study of polymerized matter

Coherent States

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Author : John R. Klauder
language : en
Publisher: World Scientific
Release Date : 1985

Coherent States written by John R. Klauder and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Science categories.

This volume is a review on coherent states and some of their applications. The usefulness of the concept of coherent states is illustrated by considering specific examples from the fields of physics and mathematical physics. Particular emphasis is given to a general historical introduction, general continuous representations, generalized coherent states, classical and quantum correspondence, path integrals and canonical formalism. Applications are considered in quantum mechanics, optics, quantum chemistry, atomic physics, statistical physics, nuclear physics, particle physics and cosmology. A selection of original papers is reprinted.

Bosonization

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Author : Michael Stone (Ph. D.)
language : en
Publisher: World Scientific
Release Date : 1994

Bosonization written by Michael Stone (Ph. D.) and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.

Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics.This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike.

Quantum Field Theory

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Author : Lukong Cornelius Fai
language : en
Publisher: CRC Press
Release Date : 2019-06-20

Quantum Field Theory written by Lukong Cornelius Fai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Science categories.

Choice Recommended Title, February 2020 This book explores quantum field theory using the Feynman functional and diagrammatic techniques as foundations to apply Quantum Field Theory to a broad range of topics in physics. This book will be of interest not only to condensed matter physicists but physicists in a range of disciplines as the techniques explored apply to high-energy as well as soft matter physics. Features: Comprehensive and rigorous, yet presents an easy to understand approach Applicable to a wide range of disciplines Accessible to those with little, or basic, mathematical understanding

Lattice Gauge Theories An Introduction Third Edition

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Author : Heinz J Rothe
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-06-17

Lattice Gauge Theories An Introduction Third Edition written by Heinz J Rothe and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-17 with Science categories.

This book provides a broad introduction to gauge field theories formulated on a space-time lattice, and in particular of QCD. It serves as a textbook for advanced graduate students, and also provides the reader with the necessary analytical and numerical techniques to carry out research on his own. Although the analytic calculations are sometimes quite demanding and go beyond an introduction, they are discussed in sufficient detail, so that the reader can fill in the missing steps. The book also introduces the reader to interesting problems which are currently under intensive investigation. Whenever possible, the main ideas are exemplified in simple models, before extending them to realistic theories. Special emphasis is placed on numerical results obtained from pioneering work. These are displayed in numerous figures.