New Structures For Physics
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New Structures For Physics
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Author : Bob Coecke
language : en
Publisher: Springer
Release Date : 2011-01-15
New Structures For Physics written by Bob Coecke and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-15 with Science categories.
This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.
Exploring New Structures And Natural Constructions In Mathematical Physics
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Author : Kōji Hasegawa
language : en
Publisher:
Release Date : 2011
Exploring New Structures And Natural Constructions In Mathematical Physics written by Kōji Hasegawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematical physics categories.
Exploring New Structures And Natural Constructions In Mathematical Physics
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Author : Kōji Hasegawa
language : en
Publisher: Advanced Studies in Pure Mathe
Release Date : 2011-10
Exploring New Structures And Natural Constructions In Mathematical Physics written by Kōji Hasegawa and has been published by Advanced Studies in Pure Mathe this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10 with Mathematics categories.
"Professor Akihiro Tsuchiya of Nagoya University reached the retirement age of sixty-three. ... Upon the occasion of his retirement, an international conference entitled 'Exploration of new structures and natural constructions in mathematical physics' (March 5-8, 2007) was held at Nagoya University"--Pref.
New Foundations For Physical Geometry
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Author : Tim Maudlin
language : en
Publisher:
Release Date : 2014-02
New Foundations For Physical Geometry written by Tim Maudlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Mathematics categories.
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
New Foundations For Physical Geometry
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Author : Tim Maudlin
language : en
Publisher: OUP Oxford
Release Date : 2014-03-06
New Foundations For Physical Geometry written by Tim Maudlin and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Philosophy categories.
Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. This book proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. This is the initial volume in a two-volume set, the first of which develops the mathematical structure and the second of which applies it to classical and Relativistic physics. The book begins with a brief historical review of the development of mathematics as it relates to geometry, and an overview of standard topology. The new theory, the Theory of Linear Structures, is presented and compared to standard topology. The Theory of Linear Structures replaces the foundational notion of standard topology, the open set, with the notion of a continuous line. Axioms for the Theory of Linear Structures are laid down, and definitions of other geometrical notions developed in those terms. Various novel geometrical properties, such as a space being intrinsically directed, are defined using these resources. Applications of the theory to discrete spaces (where the standard theory of open sets gets little purchase) are particularly noted. The mathematics is developed up through homotopy theory and compactness, along with ways to represent both affine (straight line) and metrical structure.
The Structure Of Physics
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Author : Carl F. von Weizsäcker
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-15
The Structure Of Physics written by Carl F. von Weizsäcker 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 2007-01-15 with Science categories.
The book is a newly arranged and revised English version of "Aufbau der Physik" by Carl Friedrich von Weizsäcker. Some original chapters and sections have been deleted, and a new chapter about further insights and results of ur-theoretic research of the late 1980’s and 1990’s has been included. Carl Friedrich von Weizsäcker combines the perspectives of science, philosophy, religion and politics with a view towards the challenges as well as the responsibilities of our time.
Physics Fabrication And Applications Of Multilayered Structures
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Author : Claude Weisbuch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Physics Fabrication And Applications Of Multilayered Structures written by Claude Weisbuch 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 2013-06-29 with Science categories.
Low-dimensional materials are of fundamental interest in physics and chemistry and have also found a wide variety of technological applica tions in fields ranging from microelectronics to optics. Since 1986, several seminars and summer schools devoted to low-dimensional systems have been supported by NATO. The present one, Physics, Fabrication and Applications of Multilayered structures, brought together specialists from different fields in order to review fabrication techniques, charac terization methods, physics and applications. Artificially layered materials are attractive because alternately layering two (or more) elements, by evaporation or sputtering, is a way to obtain new materials with (hopefully) new physical properties that pure materials or alloys do not allow. These new possibilities can be ob tained in electronic transport, optics, magnetism or the reflectivity of x-rays and slow neutrons. By changing the components and the thickness of the layers one can track continuously how the new properties appear and follow the importance of the multilayer structure of the materials. In addition, with their large number of interfaces the study of inter face properties becomes easier in multilayered structures than in mono layers or bilayers. As a rule, the role of the interface quality, and also the coupling between layers, increases as the thickness of the layer decreases. Several applications at the development stage require layer thicknesses of just a few atomic layers.
New Trends In Quantum Structures
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Author : Anatolij Dvurecenskij
language : en
Publisher: Springer
Release Date : 2014-03-14
New Trends In Quantum Structures written by Anatolij Dvurecenskij and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Mathematics categories.
D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.
Top Down Design Of Disordered Photonic Structures
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Author : Sunkyu Yu
language : en
Publisher: Springer Nature
Release Date : 2019-09-03
Top Down Design Of Disordered Photonic Structures written by Sunkyu Yu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-03 with Science categories.
This book introduces recent advances in the deterministic design of photonic structures, which overcome the current limitation in conventional disordered materials. It develops new concepts for disordered photonics inspired by notions in quantum mechanics, solid-state physics, mathematics and network theory, such as isospectrality, supersymmetry, graph network, small-world, de Broglie-Bohm theory, and parity-time symmetry. The multidisciplinary approach based on the core concepts of isospectrality (Chapter 2) and metadisorder (Chapter 3) offers a new perspective on the design methodology in photonics and in general disordered structures toward top-down designs of future photonic applications: perfect bandgap with strong modal localization, switching of random waves for binary and fuzzy logics, photonic analogy of graph networks, interdimensional signal transport, robust wave functions in disordered structures, and a novel method of energy storage and phase trapping based on Bohmian photonics. This book will provide new design criteria for physicists and engineers in photonics, and inspirations for researchers in other fields.
Scattering And Structures
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Author : Bogdan Povh
language : en
Publisher: Springer
Release Date : 2017-05-05
Scattering And Structures written by Bogdan Povh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Science categories.
Quantum physics may appear complicated, especially if one forgets the "big picture" and gets lost in the details. However, it can become clearer and less tangled if one applies a few fundamental concepts so that simplified approaches can emerge and estimated orders of magnitude become clear. Povh and Rosina’s Scattering and Structures presents the properties of quantum systems (elementary particles, nucleons, atoms, molecules, quantum gases, quantum liquids, stars, and early universe) with the help of elementary concepts and analogies between these seemingly different systems. In this new edition, sections on quantum gases and an up to date overview of elementary particles have been added.