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Author: Izumi Ojima Publisher: World Scientific Publishing Company ISBN: 9789813238367 Category : Languages : en Pages : 300
Book Description
According to the fundamental concept 'adjunctions' in category theory, the Micro and Macro in nature can be connected in a coherent way, which constitutes quite an effective theoretical and mathematical machinery that has not been commonly recognized. On the basis of this concept, many important problems in physics and mathematics can be viewed from quite different and fresh angles, which facilitate deep understanding and the satisfactory solution of those problems.
Author: Izumi Ojima Publisher: World Scientific Publishing Company ISBN: 9789813238367 Category : Languages : en Pages : 300
Book Description
According to the fundamental concept 'adjunctions' in category theory, the Micro and Macro in nature can be connected in a coherent way, which constitutes quite an effective theoretical and mathematical machinery that has not been commonly recognized. On the basis of this concept, many important problems in physics and mathematics can be viewed from quite different and fresh angles, which facilitate deep understanding and the satisfactory solution of those problems.
Author: H. Umezawa Publisher: American Institute of Physics ISBN: Category : Science Languages : en Pages : 264
Book Description
Market: Students and researchers in high energy, nuclear, and condensed matter physics, quantum optics, and cosmology. This book describes how modern quantum field theory is capable of treating not only quantum field particles, but also objects with classical and quantum mechanical degrees of freedom, including thermal degrees of freedom. It thus provides a unified overview of many areas of physics on the basis of the concept of macroscopic quantum vacuum.
Author: Alfred Landé Publisher: Cambridge University Press ISBN: 1316509761 Category : Science Languages : en Pages : 133
Book Description
Originally published in 1960, this book challenges the view that the principles of wave-particle duality, complementarity and uncertainty are fundamental to micro-mechanics.
Author: Gregor Wentzel Publisher: Courier Corporation ISBN: 0486174492 Category : Science Languages : en Pages : 244
Book Description
Written by a pioneer of quantum field theory, this introductory volume explores scalar fields, vector meson fields, quantum electrodynamics, quantization of electron wave field according to exclusion principle. 1949 edition.
Author: B. Sakita Publisher: World Scientific Publishing Company ISBN: 9789971978556 Category : Mathematics Languages : en Pages : 234
Book Description
These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.
Author: Thanu Padmanabhan Publisher: World Scientific ISBN: 9812835474 Category : Science Languages : en Pages : 238
Book Description
Quantum theory is one of the more abstract branches of theoretical physics, yet it makes clear and concrete predictions which are repeatedly verified experimentally. More recently, there has been some confluence between the concepts of microphysics and those of macrophysics. Currently fashionable ideas in cosmology are also deeply linked to concepts from quantum theory, thus piquing greater interest in this subject. This timely book takes stock of what quantum theory has achieved and where it is leading to at present, in a manner understandable to an educated layman. The book describes concepts in a strictly scientific manner without trying to make them sound overly philosophical or OC hypingOCO them up. At the same time, careful explanation of the concepts and details (including the technical terminology) are given in a nonmathematical language for the general reader. In particular, emphasis is given to the specific aspects of quantum theory that interface with gravity and cosmology, so as to keep the book reasonably up to date and focused on a key underlying theme.
Author: Eduardo C. Marino Publisher: Cambridge University Press ISBN: 1107074118 Category : Science Languages : en Pages : 537
Book Description
Independent electrons and static crystals -- Vibrating crystals -- Interacting electrons -- Interactions in action -- Functional formulation of quantum field theory -- Quantum fields in action -- Symmetries: explicit or secret -- Classical topological excitations -- Quantum topological excitations -- Duality, bosonization and generalized statistics -- Statistical transmutation -- Pseudo quantum electrodynamics -- Quantum field theory methods in condensed matter -- Metals, Fermi liquids, Mott and Anderson insulators -- The dynamics of polarons -- Polyacetylene -- The Kondo effect -- Quantum magnets in 1D: Fermionization, bosonization, Coulomb gases and 'all that' -- Quantum magnets in 2D: nonlinear sigma model, CP1 and 'all that' -- The spin-fermion system: a quantum field theory approach -- The spin glass -- Quantum field theory approach to superfluidity -- Quantum field theory approach to superconductivity -- The cuprate high-temperature superconductors -- The pnictides: iron based superconductors -- The quantum Hall effect -- Graphene -- Silicene and transition metal dichalcogenides -- Topological insulators -- Non-abelian statistics and quantum computation
Author: K. Kong Wan Publisher: World Scientific ISBN: 1860946259 Category : Science Languages : en Pages : 712
Book Description
Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. The results are applied to treat superconducting quantum circuits in various configurations.This book also discusses various topics of interest such as the asymptotic treatment of quantum state preparation and quantum measurement, local observables and local values, Schrdinger's cat states in superconducting systems, and a path space formulation of quantum mechanics.This self-contained book is complete with a review of relevant geometric and operator theories, for example, vector fields and operators, symmetric operators and their maximal symmetric extensions, direct integrals of Hilbert spaces and operators.
Author: Eberhard Zeidler Publisher: Springer Science & Business Media ISBN: 3540853774 Category : Mathematics Languages : en Pages : 1125
Book Description
And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.
Author: Izumi Ojima
Author: Izumi Ojima
Author: H. Umezawa
Author: Alfred Landé
Author: Gregor Wentzel
Author: B. Sakita
Author: Thanu Padmanabhan
Author: Eduardo C. Marino
Author: K. Kong Wan
Author: Eberhard Zeidler
Author: Alexei M. Tsvelik