Non Perturbative Description Of Quantum Systems
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Non Perturbative Description Of Quantum Systems
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Author : Ilya Feranchuk
language : en
Publisher: Springer
Release Date : 2014-12-18
Non Perturbative Description Of Quantum Systems written by Ilya Feranchuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Science categories.
This book introduces systematically the operator method for the solution of the Schrödinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory. In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Non Perturbative Description Of Quantum Systems
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Author : Ilya Feranchuk
language : en
Publisher:
Release Date : 2015-01-31
Non Perturbative Description Of Quantum Systems written by Ilya Feranchuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-31 with categories.
Tudes On Theoretical Physics
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Author : Leonid M. Barkovsky
language : en
Publisher: World Scientific
Release Date : 2004
Tudes On Theoretical Physics written by Leonid M. Barkovsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
- A collection of papers spanning decades and touching on a wide variety of research topics on modern theoretical physics written by leading scientists from the Belarusian State University bull; Provides concise information about the methods and applicati.
Non Perturbative Quantum Field Theory
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Author : Jürg Fröhlich
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1992
Non Perturbative Quantum Field Theory written by Jürg Fröhlich and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Lectures On Non Perturbative Canonical Gravity
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Author : Abhay Ashtekar
language : en
Publisher: World Scientific
Release Date : 1991-07-03
Lectures On Non Perturbative Canonical Gravity written by Abhay Ashtekar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-03 with Science categories.
Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.
Non Perturbative Renormalization
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Author : Vieri Mastropietro
language : en
Publisher: World Scientific
Release Date : 2008
Non Perturbative Renormalization written by Vieri Mastropietro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.
Field Theory Of Condensed Matter And Ultracold Gases Volume 1
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Author : Nicolas Dupuis
language : en
Publisher: World Scientific
Release Date : 2023-07-26
Field Theory Of Condensed Matter And Ultracold Gases Volume 1 written by Nicolas Dupuis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-26 with Science categories.
This book provides a pedagogical introduction to the concepts and methods of quantum field theory necessary for the study of condensed matter and ultracold atomic gases. After a thorough discussion of the basic methods of field theory and many-body physics (functional integrals, perturbation theory, Feynman diagrams, correlation functions and linear response theory, symmetries and their consequences, etc.), the book covers a wide range of topics, from electron gas and Fermi-liquid theory to superfluidity and superconductivity, magnetic instabilities in electron systems, and dynamical mean-field theory of Mott transition. The focus is on the study of model Hamiltonians, where the microscopic physics and characteristic energy scales are encoded into a few effective parameters, rather than first-principle methods which start from a realistic Hamiltonian at the microscopic level and then make material-specific predictions. The reader is expected to be familiar with elementary quantum mechanics and statistical physics, and some acquaintance with condensed-matter physics and ultracold gases may also be useful. No prior knowledge of field theory or many-body problem is required.
Foundations Of Quantum Gravity
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Author : James Lindesay
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-16
Foundations Of Quantum Gravity written by James Lindesay and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-16 with Science categories.
Exploring how the subtleties of quantum coherence can be consistently incorporated into Einstein's theory of gravitation, this book is ideal for researchers interested in the foundations of relativity and quantum physics. The book examines those properties of coherent gravitating systems that are most closely connected to experimental observations. Examples of consistent co-gravitating quantum systems whose overall effects upon the geometry are independent of the coherence state of each constituent are provided, and the properties of the trapping regions of non-singular black objects, black holes and a dynamic de Sitter cosmology are discussed analytically, numerically and diagrammatically. The extensive use of diagrams to summarise the results of the mathematics enables readers to bypass the need for a detailed understanding of the steps involved. Assuming some knowledge of quantum physics and relativity, the book provides text boxes featuring supplementary information for readers particularly interested in the philosophy and foundations of the physics.
Qcd Perturbative Or Nonperturbative Proceedings Of The Xvii Autumn School
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Author : Lidia S Ferreira
language : en
Publisher: World Scientific
Release Date : 2000-11-24
Qcd Perturbative Or Nonperturbative Proceedings Of The Xvii Autumn School written by Lidia S Ferreira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-24 with categories.
This volume presents a selection of current developments in quantum chromodynamics, with some emphasis on the borderline between the perturbative and the nonperturbative regime. The topics include: effective QCD, sum rules, vacuum structure, confinement, bound states, quark masses, lattice QCD, deconfinement, deep inelastic scattering and structure functions, strong coupling constant, radiative corrections.
A Comprehensive Guide To Advanced Quantum Mechanics
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Author : Sanjay Nair
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
A Comprehensive Guide To Advanced Quantum Mechanics written by Sanjay Nair and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
Embark on a journey into the captivating realm of quantum physics with our comprehensive guide, tailored for undergraduate students in the United States. Building upon the foundational principles of introductory quantum mechanics, our book delves into the deeper complexities and cutting-edge advancements of the quantum world. We cover a wide range of advanced quantum mechanics topics, equipping students with the theoretical framework and mathematical tools to understand and analyze complex quantum phenomena. From quantum field theory principles to the intricacies of quantum entanglement and decoherence, each chapter offers clear explanations and illustrative examples to help grasp key concepts. Emphasizing both theoretical understanding and practical application, our guide includes thought-provoking exercises and real-world examples that challenge students to deeply engage with the material. Through this rigorous yet accessible approach, students will expand their knowledge of quantum mechanics and develop valuable problem-solving skills essential for further study and research in physics. Whether pursuing a career in theoretical physics, quantum information science, or simply seeking to deepen their understanding of the quantum world, students will find our guide to be an invaluable resource that illuminates the complexities and wonders of one of the most fascinating fields in modern physics.