Inequivalent Representations Of Canonical Commutation And Anti Commutation Relations
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Inequivalent Representations Of Canonical Commutation And Anti Commutation Relations
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Author : Asao Arai
language : en
Publisher: Springer Nature
Release Date : 2020-02-04
Inequivalent Representations Of Canonical Commutation And Anti Commutation Relations written by Asao Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-04 with Science categories.
Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation–theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov–Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.
An Invitation To The Algebra Of Canonical Commutation Relations
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Author : Dénes Petz
language : en
Publisher:
Release Date : 1990
An Invitation To The Algebra Of Canonical Commutation Relations written by Dénes Petz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Chemistry Quantum Mechanics And Reductionism
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Author : H. Primas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Chemistry Quantum Mechanics And Reductionism written by H. Primas 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 purpose of this book is to provide a deeper insight into the modern theories of molecular matter. It incorporates the most important developments which have taken place during the last decades and reflects the modern trend to abstraction. At the present state of the art we have acquired a fairly good knowledge of "how to. compute" small molecules us ing the methods of quantum chemistry. Yet, in spite of many statements to the contrary and many superficial discussions, the theoretical basis of chemistry and biology is not safely in our hands. It is all but impossible to summarize the modern developments of the theory of matter in nontechnical language. But I hope that I can give some feeling for the problems, the intellectual excitements and the wor ries of some theoreticians. I know very well that such an enterprise is a dangerous adventure and that one says that a clever scientist should take care of his reputation by barricading himself behind the safe wall of his speciality. This volume is not meant to be a textbook; in many respects it has complementary goals. For good and bad reasons, most textbooks ignore the historical and philosophical aspects and go ahead on the basis of crude simplifications; many even lie like the devil and do not shrink from naive indoctrination. Some sections of this book can be read as commentaries on our standard texts, they are intended to stir the waters with controversy.
Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects
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Author : Massimo Blasone
language : en
Publisher: World Scientific
Release Date : 2011-02-21
Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects written by Massimo Blasone and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-21 with Science categories.
Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals. Even large scale structures in the Universe and ordering in biological systems appear to be the manifestation of microscopic dynamics ruling their elementary components. The scope of this book is to answer questions such as: how it happens that the mesoscopic/macroscopic scale and stability characterizing those systems are dynamically generated out of the microscopic scale of fluctuating quantum components; how quantum particles coexist and interact with classically behaving macroscopic objects, e.g. vortices, magnetic domains and other topological defects. The quantum origin of topological defects and their interaction with quanta is a crucial issue for the understanding of symmetry breaking phase transitions and structure formation in a wide range of systems from condensed matter to cosmology. Deliberately not discussing other important problems, primarily renormalization problems, this book provides answers to such questions in a unitary, self-consistent physical and mathematical framework, which makes it unique in the panorama of existing texts on a similar subject. Crystals, ferromagnets and superconductors appear to be macroscopic quantum systems, i.e. their macroscopic properties cannot be explained without recourse to the underlying quantum dynamics. Recognizing that quantum field dynamics is not confined to the microscopic world is one of the achievements of this book, also marking its difference from other texts. The combined use of algebraic methods, and operator and functional formalism constitutes another distinctive, valuable feature./a
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1975-12
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-12 with Nuclear energy categories.
Epistemology And Transformation Of Knowledge In Global Age
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Author : Zlatan Delic
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-07-26
Epistemology And Transformation Of Knowledge In Global Age written by Zlatan Delic and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Philosophy categories.
This book consists of seven chapters containing multiple questions of the global socially epistemological situation in science and higher education. Despite the progress of techno-sciences, we are facing blind flaws in leading systems of knowledge and perception. The global era, in a paradox way, connects the new knowledge of economics, postpolitics, postdemocracy, and biopolitical regulation of live and unpresentable forms of the global geo-located violence. Techno-optimism and techno-dictatorship in the twenty-first century coincide with the ideology of market, biopolitics of mandatory satisfaction, religious revivalism, and collapse of higher education. In order for sciences to recover, it is necessary to make a globally epistemological and moral turn toward the truth. The book shows that, when joint desires of the new economics of knowledge and technology erase epistemology (in a way to assign definitions of knowledge and rules and practices of the public usage of the mind), then the time for epistemology is on its way.
Powers Time And Free Will
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Author : Christopher J. Austin
language : en
Publisher: Springer Nature
Release Date : 2022-03-28
Powers Time And Free Will written by Christopher J. Austin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-28 with Philosophy categories.
This book brings together twelve original contributions by leading scholars on the much-debated issues of what is free will and how can we exercise it in a world governed by laws of nature. Which conception of laws of nature best fits with how we conceive of free will? And which constraints does our conception of the laws of nature place on how we think of free will? The metaphysics of causation and the metaphysics of dispositions are also explored in this edited volume, in relation to whether they may or may not be game-changers in how we think about both free will and the laws of nature. The volume presents the views of a range of international experts on these issues, and aims at providing the reader with novel approaches to a core problem in philosophy. The target audience is composed by academics and scholars who are interested in an original and contemporary approach to these long-debated issues. Chapters [2] and [4] are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Infinite Dimensional Dirac Operators And Supersymmetric Quantum Fields
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Author : Asao Arai
language : en
Publisher: Springer Nature
Release Date : 2022-10-18
Infinite Dimensional Dirac Operators And Supersymmetric Quantum Fields written by Asao Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-18 with Science categories.
This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.
Gauging What S Real
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Author : Richard Healey
language : en
Publisher: OUP Oxford
Release Date : 2007-09-27
Gauging What S Real written by Richard Healey and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-27 with Science categories.
Gauge theories have provided our most successful representations of the fundamental forces of nature. How, though, do such representations work? Interpretations of gauge theory aim to answer this question. Through understanding how a gauge theory's representations work, we are able to say what kind of world our gauge theories reveal to us. A gauge theory's representations are mathematical structures. These may be transformed among themselves while certain features remain the same. Do the representations related by such a gauge transformation merely offer alternative ways of representing the very same situation? If so, then gauge symmetry is a purely formal property since it reflects no corresponding symmetry in nature. Gauging What's Real describes the representations provided by gauge theories in both classical and quantum physics. Richard Healey defends the thesis that gauge transformations are purely formal symmetries of almost all the classes of representations provided by each of our theories of fundamental forces. He argues that evidence for classical gauge theories of forces (other than gravity) gives us reason to believe that loops rather than points are the locations of fundamental properties. In addition to exploring the prospects of extending this conclusion to the quantum gauge theories of the Standard Model of elementary particle physics, Healey assesses the difficulties faced by attempts to base such ontological conclusions on the success of these theories.
The Structure Of Representations Of The Canonical Commutation Relations
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Author : John S.. Lew
language : en
Publisher:
Release Date : 1960
The Structure Of Representations Of The Canonical Commutation Relations written by John S.. Lew and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Quantum field theory categories.