Download or read book Fundamental Mathematical Structures of Quantum Theory written by Valter Moretti and published by Springer. This book was released on 2019-06-20 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality. Written in a didactic style, this book includes many examples and solved exercises. The work is organized as follows. Chapter 1 reviews some elementary facts and properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the so called algebraic formulation of quantum theories in terms of both *-algebras and C*-algebras. This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.
Download or read book Spectral Theory and Quantum Mechanics written by Valter Moretti and published by Springer. This book was released on 2018-01-30 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory. Further, this Second Edition collects in one volume a number of useful rigorous results on the mathematical structure of quantum mechanics focusing in particular on von Neumann algebras, Superselection rules, the various notions of Quantum Symmetry and Symmetry Groups, and including a number of fundamental results on the algebraic formulation of quantum theories. Intended for Master's and PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book also benefits established researchers by organizing and presenting the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly."
Download or read book Group Theory in a Nutshell for Physicists written by A. Zee and published by Princeton University Press. This book was released on 2016-03-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)
Download or read book Research in Quantum Field Theory written by Vladimir Ivanovich Manʹko and published by Nova Publishers. This book was released on 1996 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research In Quantum Field Theory
Download or read book Theoretical Physics 2002 written by Thomas F. George and published by Nova Publishers. This book was released on 2002 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: These twelve chapters, written by scientists from around the world, provide a representative sampling of the latest advances in theoretical physics. The book is divided in five sections, addressing the following topics: optics and quantum mechanics, relativity and cosmology, nuclear physics, thermodynamics and mathematics.
Download or read book Symmetries and Algebraic Structures in Physics written by V. V. Dodonov and published by . This book was released on 1991 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thermal Quantum Field Theory Algebraic Aspects And Applications written by Faqir C Khanna and published by World Scientific. This book was released on 2009-02-06 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent developments in quantum field theory at finite temperature. By using Lie groups, ideas from thermal theory are considered with concepts of symmetry, allowing for applications not only to quantum field theory but also to transport theory, quantum optics and statistical mechanics. This includes an analysis of geometrical and topological aspects of spatially confined systems with applications to the Casimir effect, superconductivity and phase transitions. Finally, some developments in open systems are also considered. The book provides a unified picture of the fundamental aspects in thermal quantum field theory and their applications, and is important to the field as a result, since it combines several diverse ideas that lead to a better understanding of different areas of physics.
Download or read book Structural Aspects Of Quantum Field Theory And Noncommutative Geometry Second Edition In 2 Volumes written by Gerhard Grensing and published by World Scientific. This book was released on 2021-07-15 with total page 1656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
Download or read book Atomic and Ionic Spectra and Elementary Processes in Plasma written by Igorʹ Ilʹich Sobelʹman and published by Nova Publishers. This book was released on 1992 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eight highly technical studies explore a wide range of problems involved in investigating the short wavelength emission of the solar corona. The topics include the experimental results from solar X-ray investigations, the calculated excitation cross-sections for collisions of atoms and ions with charged particles, and spectra of plasmas. Annotation
Download or read book On the Structure of Physical Vacuum and a New Interaction in Nature theory Experiment Applications written by I︠U︡. A. Baurov and published by Nova Publishers. This book was released on 2000 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book, an unconventional physical model of creation of the observed physical space from a finite set of special discrete objects, byuons is presented. The global space anisotropy associated with a cosmological vectorial potential appearing in the definition of byuons, as well as a new interaction due to this anisotropy, are predicted. Results of an experimental investigation of the proposed new interaction are given. A new method of power production based on the new interaction, as well as a new principle of motion of objects in nature with the use of physical space as a support medium, are advanced. The book is intended for the general reading public, physicists (theorists and experimenters), astrophysicists, engineers (specialists in space technology and power engineering), and physical students.
Download or read book The Muon Method in Science written by Volʹdemar Smilga and published by Nova Publishers. This book was released on 1994 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Muon Method in Science
Download or read book The Conceptual Framework of Quantum Field Theory written by Anthony Duncan and published by Oxford University Press. This book was released on 2012-08-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.
Download or read book Models and Methods of High Tc Superconductivity written by J. K. Srivastava and published by Nova Publishers. This book was released on 2003 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this exceptional book contain regular papers, extended papers and reviews, and thus vary in length and are useful for all kinds of audience. They describe, as the book's name suggests, HTSC models and methodologies. Physical models (like extended BCS model, bipolaron model, spin bag model, RVB (resonating valence bond) model, preformed Cooper pairs and antiferromagnetic spin fluctuation (AFSF) based models, stripe phase, paired cluster (spin glass (SG) frustration based) model, Kamimura-Suwa (Hund's coupling mechanism based) model, electron- plasmon interaction, electron- phonon interaction, etc.), theoretical methods (methodologies) (like generalised BCS-Migdal-Eliashberg theory, Hubbard model, t-J model, t-t'-U model, Hubbard-Holstein model, Fermi-, non Fermi- and marginal Fermi- liquid concepts, generalised Hartree-Fock formalism, etc.) and, experimental status and methodologies are all described there. For comparison with cuprates, fullerenes, ruthenates, organic-, non Cu-containing oxide-and conventional (elemental, A15)- superconductors, molecular crystals, nickelates, manganites, borides etc. are also discussed.
Download or read book Local Quantum Physics written by Rudolf Haag and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.
Download or read book Horizons in World Physics written by Albert Reimer and published by Nova Publishers. This book was released on 2004 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents leading-edge research in physics from researchers around the world. Contents: Preface; Interface-Localised Mode in Bilayer Film Ferromagnetic Resonance Spectrum; On Similarity Waves in Compacting Media; Generalised Relativistic Dynamics of Charged Particle; Deviatoric Elasticity as a Mechanism describing Stable Shapes of Nanotubes; A Thermodynamic Approach for Predicting Micelle and Asphaltene-Micelle Formation; Asymptotic Theories for the Non-linear Analysis of Axisymmetric Laminated Cylindrical Shells; Statistical Dynamics of Energy Transfer in Direct Inelastic Gas-Surface Scattering within Dynamical Lie Algebraic Method; Topologically Charged Vortex in a Supersymmetric Kalb-Ramond Theory; The Effect of Fibre Curvature on Suspension Viscosity; Measurements of Reaction Cross-Sections and Determination of Nucleon Matter Density Distributions; Index.
Download or read book Physics Briefs written by and published by . This book was released on 1993 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:
