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The Classical Quantum Correspondence
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Book Synopsis The Classical–Quantum Correspondence by : Benjamin H. Feintzeig
Download or read book The Classical–Quantum Correspondence written by Benjamin H. Feintzeig and published by Cambridge University Press. This book was released on 2023-01-31 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element provides an entry point for philosophical engagement with quantization and the classical limit. It introduces the mathematical tools of C*-algebras as they are used to compare classical and quantum physics. It then employs those tools to investigate philosophical issues surrounding theory change in physics. It discusses examples in which quantization bears on the topics of reduction, structural continuity, analogical reasoning, and theory construction. In doing so, it demonstrates that the precise mathematical tools of algebraic quantum theory can aid philosophers of science and philosophers of physics.
Book Synopsis Quantum-Classical Correspondence by : A. O. Bolivar
Download or read book Quantum-Classical Correspondence written by A. O. Bolivar and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.
Book Synopsis From c-Numbers to q-Numbers by : Olivier Darrigol
Download or read book From c-Numbers to q-Numbers written by Olivier Darrigol and published by University of California Press. This book was released on 2021-01-08 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1992.
Book Synopsis Practicing the Correspondence Principle in the Old Quantum Theory by : Martin Jähnert
Download or read book Practicing the Correspondence Principle in the Old Quantum Theory written by Martin Jähnert and published by Springer. This book was released on 2019-06-20 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a history of the correspondence principle from a new perspective. The author provides a unique exploration of the relation between the practice of theory and conceptual development in physics. In the process, he argues for a new understanding of the history of the old quantum theory and the emergence of quantum mechanics. The analysis looks at how the correspondence principle was disseminated and how the principle was applied as a research tool during the 1920s. It provides new insights into the interaction between theoretical tools and scientific problems and shows that the use of this theoretical tool changed the tool itself in a process of transformation through implementation. This process, the author claims, was responsible for the conceptual development of the correspondence principle. This monograph connects to the vast literature in the history of science, which analyzed theoretical practices as based on tacit knowledge, skills, and calculation techniques. It contributes to the historical understanding of quantum physics and the emergence of quantum mechanics. Studying how physicists used a set of tools to solve problems, the author spells out the ‟skillful guessing” that went into the making of quantum theoretical arguments and argues that the integration and implementation of technical resources was a central driving force for the conceptual and theoretical transformation in the old quantum theory.
Book Synopsis The Foundations of Quantum Theory by : Sol Wieder
Download or read book The Foundations of Quantum Theory written by Sol Wieder and published by Elsevier. This book was released on 2012-12-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Foundations of Quantum Theory discusses the correspondence between the classical and quantum theories through the Poisson bracket-commutator analogy. The book is organized into three parts encompassing 12 chapters that cover topics on one-and many-particle systems and relativistic quantum mechanics and field theory. The first part of the book discusses the developments that formed the basis for the old quantum theory and the use of classical mechanics to develop the theory of quantum mechanics. This part includes considerable chapters on the formal theory of quantum mechanics and the wave mechanics in one- and three-dimension, with an emphasis on Coulomb problem or the hydrogen atom. The second part deals with the interacting particles and noninteracting indistinguishable particles and the material covered is fundamental to almost all branches of physics. The third part presents the pertinent equations used to illustrate the relativistic quantum mechanics and quantum field theory. This book is of value to undergraduate physics students and to students who have background in mechanics, electricity and magnetism, and modern physics.
Book Synopsis The Correspondence Principle (1918 - 1923) by : J.R. Nielsen
Download or read book The Correspondence Principle (1918 - 1923) written by J.R. Nielsen and published by Elsevier. This book was released on 2013-10-22 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: During this period Bohr's researches had a double aim: to develop a consistent and adequate quantum theory and to explain the structures and properties of the elements of the periodic system. ``The Correspondence Principle'' contains the papers and manuscripts dealing mainly with the elaboration of the general quantum theory.
Author :Bradley Clarke Hughes Publisher :National Library of Canada = Bibliothèque nationale du Canada ISBN 13 :9780612066847 Total Pages :208 pages Book Rating :4.0/5 (668 download)
Book Synopsis Quantum-classical Correspondence in Two Simple Systems [microform] by : Bradley Clarke Hughes
Download or read book Quantum-classical Correspondence in Two Simple Systems [microform] written by Bradley Clarke Hughes and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 1995 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Quantum Mechanics: The Classical-Quantum Connection by : Reinhold Blumel
Download or read book Advanced Quantum Mechanics: The Classical-Quantum Connection written by Reinhold Blumel and published by Jones & Bartlett Publishers. This book was released on 2010-04-28 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a coherent introduction to Gutzwiller’s trace formula accessible to well-prepared science, mathematics, and engineering students who have taken introductory courses in linear algebra, classical, and quantum mechanics. In addition to providing an enrichment of the undergraduate curriculum, this book may serve as the primary text for graduate courses on semiclassical methods. Since periodic-orbit expansions may be used to solve all types of wave systems that typically occur in mathematics, phyics, and engineering, this book is attractice for professional scientists and engineers as well. Following a thorough review of elementary concepts in classical and quantum mechanics the reader is introduced to the idea of classical periodic orbits, the foundation of Gutzwiller’s approach to quantum spectra. The trace formula itself is derived following an introduction to Feynman’s path integrals. Numerous applications, including the exact solutions of “unsolvable” one-dimensional quantum problems, illustrate the power of Gutzwiller’s method. Worked examples throughout the text illustrate the material and provide immediate “hands-on” demonstrations of tools and concepts just learned. Problems at the end of each section invite the reader to consolidate the acquired knowledge.
Book Synopsis Letters on Wave Mechanics by : Albert Einstein
Download or read book Letters on Wave Mechanics written by Albert Einstein and published by Open Road Media. This book was released on 2011-09-27 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively collection of Einstein’s groundbreaking scientific correspondence on modern physics Imagine getting four of the greatest minds of modern physics in a room together to explain and debate the theories and innovations of their day. This is the fascinating experience of reading Letters on Wave Mechanics, the correspondence between H. A. Lorentz, Max Planck, Erwin Schrödinger, and Albert Einstein. These remarkable letters illuminate not only the basis of Schrödinger’s work in wave mechanics, but also how great scientific minds debated and challenged the ever-changing theories of the day and ultimately embraced an elegant solution to the riddles of quantum theory. Their collected correspondence offers insight into both the personalities and professional aspirations that played a part in this theoretical breakthrough. This authorized ebook features rare photos and never-before-seen documents from the Albert Einstein Archives at the Hebrew University of Jerusalem.
Book Synopsis Symbol Correspondences for Spin Systems by : Pedro de M. Rios
Download or read book Symbol Correspondences for Spin Systems written by Pedro de M. Rios and published by Springer. This book was released on 2014-10-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this book explores in more detail in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. A detailed presentation of quantum spin-j systems, with emphasis on the SO(3)-invariant decomposition of their operator algebras, is first followed by an introduction to the Poisson algebra of the classical spin system and then by a similarly detailed examination of its SO(3)-invariant decomposition. The book next proceeds with a detailed and systematic study of general quantum-classical symbol correspondences for spin-j systems and their induced twisted products of functions on the 2-sphere. This original systematic presentation culminates with the study of twisted products in the asymptotic limit of high spin numbers. In the context of spin systems it shows how classical mechanics may or may not emerge as an asymptotic limit of quantum mechanics. The book will be a valuable guide for researchers in this field and its self-contained approach also makes it a helpful resource for graduate students in mathematics and physics.
Book Synopsis The Historical Development of Quantum Theory by : Jagdish Mehra
Download or read book The Historical Development of Quantum Theory written by Jagdish Mehra and published by Springer Science & Business Media. This book was released on 2000-12-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.
Book Synopsis Understanding Quantum Mechanics by : Roland Omnès
Download or read book Understanding Quantum Mechanics written by Roland Omnès and published by Princeton University Press. This book was released on 2020-12-08 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here Roland Omnès offers a clear, up-to-date guide to the conceptual framework of quantum mechanics. In an area that has provoked much philosophical debate, Omnès has achieved high recognition for his Interpretation of Quantum Mechanics (Princeton 1994), a book for specialists. Now the author has transformed his own theory into a short and readable text that enables beginning students and experienced physicists, mathematicians, and philosophers to form a comprehensive picture of the field while learning about the most recent advances. This new book presents a more streamlined version of the Copenhagen interpretation, showing its logical consistency and completeness. The problem of measurement is a major area of inquiry, with the author surveying its history from Planck to Heisenberg before describing the consistent-histories interpretation. He draws upon the most recent research on the decoherence effect (related to the modern resolution of the famous Schrödinger's cat problem) and an exact formulation of the correspondence between quantum and particle physics (implying a derivation of classical determinism from quantum probabilism). Interpretation is organized with the help of a universal and sound language using so-called consistent histories. As a language and a method, it can now be shown to be free of ambiguity and it makes interpretation much clearer and closer to common sense.
Book Synopsis Quantum-classical Correspondence in Nonrelativistic Electrodynamics by : Burke Ritchie
Download or read book Quantum-classical Correspondence in Nonrelativistic Electrodynamics written by Burke Ritchie and published by . This book was released on 1999 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Principles and Line Spectra by : John Hasbrouck Van Vleck
Download or read book Quantum Principles and Line Spectra written by John Hasbrouck Van Vleck and published by . This book was released on 1926 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Physical Principles of the Quantum Theory by : Werner Heisenberg
Download or read book The Physical Principles of the Quantum Theory written by Werner Heisenberg and published by Courier Corporation. This book was released on 2013-04-15 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." — Nature.
Download or read book Quantum Theory written by David Bohm and published by Courier Corporation. This book was released on 2012-04-25 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.
Book Synopsis A Concise Treatise on Quantum Mechanics in Phase Space by : Thomas L Curtright
Download or read book A Concise Treatise on Quantum Mechanics in Phase Space written by Thomas L Curtright and published by World Scientific Publishing Company. This book was released on 2013-11-11 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a text on quantum mechanics formulated simultaneously in terms of position and momentum, i.e. in phase space. It is written at an introductory level, drawing on the remarkable history of the subject for inspiration and motivation. Wigner functions — density matrices in a special Weyl representation — and star products are the cornerstones of the formalism. The resulting framework is a rich source of physical intuition. It has been used to describe transport in quantum optics, structure and dynamics in nuclear physics, chaos, and decoherence in quantum computing. It is also of importance in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative way to formulate and understand quantum mechanics, independent of the conventional Hilbert space or path integral approaches to the subject. In this logically complete and self-standing formulation, one need not choose sides between coordinate or momentum space variables. It works in full phase space, accommodating the uncertainty principle; and it offers unique insights into the classical limit of quantum theory. The observables in this formulation are c-number functions in phase space instead of operators, with the same interpretation as their classical counterparts, only composed together in novel algebraic ways using star products. This treatise provides an introductory overview and supplementary material suitable for an advanced undergraduate or a beginning graduate course in quantum mechanics.
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