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Author : Luiz C. L. Botelho
Publisher :
ISBN 13 : 9781607419082
Total Pages : 336 pages
Book Rating : 4.4/5 (19 download)
Download or read book Methods of Bosonic and Fermionic Path Integrals Representations written by Luiz C. L. Botelho and published by . This book was released on 2009 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Botelho Luiz C L
Publisher : World Scientific
ISBN 13 : 9813143487
Total Pages : 244 pages
Book Rating : 4.8/5 (131 download)
Download or read book Lecture Notes In Topics In Path Integrals And String Representations written by Botelho Luiz C L and published by World Scientific. This book was released on 2017-02-03 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional 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.
Author : Luiz C. L. Botelho
Publisher : Nova Publishers
ISBN 13 : 9781594540196
Total Pages : 384 pages
Book Rating : 4.5/5 (41 download)
Download or read book Methods of Bosonic Path Integrals Representations written by Luiz C. L. Botelho and published by Nova Publishers. This book was released on 2006 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jean Zinn-Justin
Publisher :
ISBN 13 : 0198566751
Total Pages : 336 pages
Book Rating : 4.1/5 (985 download)
Download or read book Path Integrals in Quantum Mechanics written by Jean Zinn-Justin and published by . This book was released on 2010-07-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is hardly comprehensible without path integrals: the goal of this book is to introduce students to this topic within the context of ordinary quantum mechanics and non-relativistic many-body theory, before facing the problems associated with the more involved quantum field theory formalism.
Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 1482268914
Total Pages : 359 pages
Book Rating : 4.4/5 (822 download)
Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2018-10-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 9780750308014
Total Pages : 360 pages
Book Rating : 4.3/5 (8 download)
Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2001-07-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author : Mark S. Swanson
Publisher : Courier Corporation
ISBN 13 : 0486493067
Total Pages : 463 pages
Book Rating : 4.4/5 (864 download)
Download or read book Path Integrals and Quantum Processes written by Mark S. Swanson and published by Courier Corporation. This book was released on 2014-02-19 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals. Covers Grassmann variables, field and gauge field theory, perturbation theory, and nonperturbative results. 1992 edition.
Author : Sonia Mazzucchi
Publisher : World Scientific
ISBN 13 : 9811214808
Total Pages : 360 pages
Book Rating : 4.8/5 (112 download)
Download or read book Mathematical Feynman Path Integrals And Their Applications (Second Edition) written by Sonia Mazzucchi and published by World Scientific. This book was released on 2021-11-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.
Author : Valerio Tognetti
Publisher : World Scientific
ISBN 13 : 9814543845
Total Pages : 642 pages
Book Rating : 4.8/5 (145 download)
Download or read book Path Integrals From Pev To Tev: 50 Years After Feynman's Paper - Proceedings Of The Sixth International Conference written by Valerio Tognetti and published by World Scientific. This book was released on 1999-04-01 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the invited contributions to the 6th International Conference on Path Integrals from peV to TeV, held in Florence in 1998. The conference, devoted to functional integration, brought together many physicists with interests ranging from elementary particles to nuclear, solid state, liquid state, polymer and complex systems physics. The variety of topics is reflected in the book, which is a unique collection of papers on manifold applications of functional methods in several areas of physics.
Author : Luiz C. L. Botelho
Publisher :
ISBN 13 : 9789813143470
Total Pages : 227 pages
Book Rating : 4.1/5 (434 download)
Download or read book Lecture Notes in Topics in Path Integrals and String Representations written by Luiz C. L. Botelho and published by . This book was released on 2017 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Functional 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"--Provided by publisher.
Author : Fiorenzo Bastianelli
Publisher : Cambridge University Press
ISBN 13 : 1139456849
Total Pages : 47 pages
Book Rating : 4.1/5 (394 download)
Download or read book Path Integrals and Anomalies in Curved Space written by Fiorenzo Bastianelli and published by Cambridge University Press. This book was released on 2006-07-20 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.
Author : Akira Inomata
Publisher : World Scientific
ISBN 13 : 9789810206567
Total Pages : 338 pages
Book Rating : 4.2/5 (65 download)
Download or read book Path Integrals and Coherent States of SU(2) and SU(1,1) written by Akira Inomata and published by World Scientific. This book was released on 1992 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examine several topical subjects, commencing with a general introduction to path integrals in quantum mechanics and the group theoretical backgrounds for path integrals. Applications of harmonic analysis, polar coordinate formulation, various techniques and path integrals on SU(2) and SU(1, 1) are discussed. Soluble examples presented include particle-flux system, a pulsed oscillator, magnetic monopole, the Coulomb problem in curved space and others.The second part deals with the SU(2) coherent states and their applications. Construction and generalization of the SU(2) coherent states, formulation of coherent path integrals for spin and unitary spin, and semiclassical quantization are presented. Applications are made to the study of quantum fluctuation, the nonlinear field model and phase holonomy.The final chapters present the theory of the SU(1, 1) coherent states and their applications. The radial coulomb problem, the Morse oscillator, and the large-N approximation are discussed. Applications to problems in quantum optics such as squeezed states, interaction with the squeezed vacuum states, and phase operator formalism are also included.This book will be useful as an introduction to the subject as well as a valuable work of reference.
Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 1482289504
Total Pages : 336 pages
Book Rating : 4.4/5 (822 download)
Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2018-10-03 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author : Heinz J Rothe
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105046
Total Pages : 528 pages
Book Rating : 4.8/5 (131 download)
Download or read book Lattice Gauge Theories written by Heinz J Rothe and published by World Scientific Publishing Company. This book was released on 1997-06-09 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics. Request Inspection Copy
Author :
Publisher :
ISBN 13 : 981447102X
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Lecture Notes in Applied Differential Equations of Mathematical Physics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard J. Szabo
Publisher : Springer Science & Business Media
ISBN 13 : 3540465502
Total Pages : 315 pages
Book Rating : 4.5/5 (44 download)
Download or read book Equivariant Cohomology and Localization of Path Integrals written by Richard J. Szabo and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented.
Author : Peter Woit
Publisher : Springer
ISBN 13 : 3319646125
Total Pages : 668 pages
Book Rating : 4.3/5 (196 download)
Download or read book Quantum Theory, Groups and Representations written by Peter Woit and published by Springer. This book was released on 2017-11-01 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.
