Quantum Classical Analogies
DOWNLOAD
Download Quantum Classical Analogies PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Quantum Classical Analogies book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Quantum Classical Analogies
DOWNLOAD
Author : Daniela Dragoman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Quantum Classical Analogies written by Daniela Dragoman 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 2013-04-09 with Science categories.
It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.
Quantum Classical Analogies
DOWNLOAD
Author : Daniela Dragoman
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-21
Quantum Classical Analogies written by Daniela Dragoman 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 2004-07-21 with Science categories.
It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.
From C Numbers To Q Numbers
DOWNLOAD
Author : Olivier Darrigol
language : en
Publisher: Univ of California Press
Release Date : 2023-11-15
From C Numbers To Q Numbers written by Olivier Darrigol and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-15 with Science categories.
From c-Numbers to q-Numbers: The Classical Analogy in the History of Quantum Theory explores the critical role of classical analogies in the development of quantum theory, examining how key figures such as Planck, Bohr, Heisenberg, and Dirac employed these analogies to bridge the gap between classical and quantum mechanics. At the heart of the book is the idea that quantum mechanics, while radically different from classical theories, still relies heavily on formal structures and mathematical procedures inherited from classical physics. By analyzing three major stages in quantum theory—Planck's radiation theory, Bohr's atomic theory, and Dirac's quantum mechanics—the book reveals how analogies with classical theories not only facilitated the formation of quantum ideas but also provided a framework that allowed quantum mechanics to evolve from classical roots. The book identifies four distinct types of classical analogies: Planck's horizontal analogy, which merely extended classical methods; Bohr's vertical analogies, which involved more direct, though incomplete, translations of classical laws; Heisenberg's and Dirac's analogies, which mathematically aligned classical and quantum mechanics; and Dirac's use of relativistic strategies for theory-building. These analogies were essential in navigating the intellectual challenges of quantum mechanics, especially in the absence of complete theories. The study underscores the continuity between classical and quantum physics, illustrating how quantum theory, through its innovative use of mathematical formalisms, preserved the elegance of classical mechanics while embracing new, non-intuitive principles. This approach shows that the construction of quantum theory was deeply intertwined with classical precedents, allowing quantum mechanics to mature while maintaining connections to earlier frameworks of understanding. 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.
From C Numbers To Q Numbers
DOWNLOAD
Author : Olivier Darrigol
language : en
Publisher: University of California Press
Release Date : 2021-05-28
From C Numbers To Q Numbers written by Olivier Darrigol and has been published by University of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-28 with Science categories.
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.
Classical Analogies In The Solution Of Quantum Many Body Problems
DOWNLOAD
Author : Aydın Cem Keser
language : en
Publisher: Springer
Release Date : 2018-11-07
Classical Analogies In The Solution Of Quantum Many Body Problems written by Aydın Cem Keser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-07 with Technology & Engineering categories.
This book addresses problems in three main developments in modern condensed matter physics– namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids–by employing fruitful analogies from classical mechanics. This strategy has led to tangible results, firstly in superconducting nanowires: the density of states, a smoking gun for the long sought Majorana zero mode is calculated effortlessly by mapping the problem to a textbook-level classical point particle problem. Secondly, in localization theory even the simplest toy models that exhibit many-body localization are mathematically cumbersome and results rely on simulations that are limited by computational power. In this book an alternative viewpoint is developed by describing many-body localization in terms of quantum rotors that have incommensurate rotation frequencies, an exactly solvable system. Finally, the fluctuations in a strongly interacting Bose condensate and superfluid, a notoriously difficult system to analyze from first principles, are shown to mimic stochastic fluctuations of space-time due to quantum fields. This analogy not only allows for the computation of physical properties of the fluctuations in an elegant way, it sheds light on the nature of space-time. The book will be a valuable contribution for its unifying style that illuminates conceptually challenging developments in condensed matter physics and its use of elegant mathematical models in addition to producing new and concrete results.
Quantum Analogues From Phase Transitions To Black Holes And Cosmology
DOWNLOAD
Author : William Unruh
language : en
Publisher: Springer
Release Date : 2007-04-14
Quantum Analogues From Phase Transitions To Black Holes And Cosmology written by William Unruh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-14 with Science categories.
Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. Especially in view of the tremendous progress of the experimental capabilities (e.g. regarding superfluids such as liquid Helium or gaseous Bose-Einstein condensates), exotic quantum effects such as Hawking radiation might come into reach for the first time. This book contains a series of selected lectures devoted to this new and rapidly developing interdisciplinary field of research. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view - which will provide a deeper insight for graduate students as well as senior scientists.
Information Physics
DOWNLOAD
Author : Miroslav Svitek
language : en
Publisher: Academic Press
Release Date : 2021-06-05
Information Physics written by Miroslav Svitek and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-05 with Science categories.
Information Physics: Physics-Information and Quantum Analogies for Complex Modeling presents a new theory of complex systems that uses analogy across various aspects of physics, including electronics, magnetic circuits and quantum mechanics. The book explains the quantum approach to system theory that can be understood as an extension of classical system models. The main idea is that in many complex systems there are incomplete pieces of overlapping information that must be strung together to find the most consistent model. This incomplete information can be understood as a set of non-exclusive observer results. Because they are non-exclusive, each observer registers different pictures of reality. - Provides readers with an understanding of the analogies between very sophisticated theories of electrical circuits and currently underdeveloped information circuits, including capturing positive and negative links, as well as serial and parallel ordering of information blocks - Integrates coverage of quantum models of complex systems using wave probabilistic functions which extend the classical probability description by phase parameters that allow researchers to model such properties as entanglement, superposition and others - Provides readers with illustrative examples of how to use the presented theories of complex systems in specific cases such as hierarchical systems, cooperation of a team of experts, the lifecycle of the company, and the link between short and long-term memory
Classical Dynamics And Its Quantum Analogues
DOWNLOAD
Author : David Park
language : en
Publisher:
Release Date : 1990-06-28
Classical Dynamics And Its Quantum Analogues written by David Park and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-28 with categories.
Analogies In Physics And Life
DOWNLOAD
Author : Richard M. Weiner
language : en
Publisher: World Scientific
Release Date : 2008
Analogies In Physics And Life written by Richard M. Weiner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space-time in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field. This self-contained volume contains survey lectures and research articles which address these issues and related topics. The book is accessible to both researchers and graduate students beginning to study this subject.
Many Body Problems And Quantum Field Theory
DOWNLOAD
Author : Philippe Andre Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Many Body Problems And Quantum Field Theory written by Philippe Andre Martin 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.
This text is a revised and augmented version of a course given to graduate and Ph.D. students in the context of the doctoral school for physics in the French-speaking part of Switzerland. This doctoral school provides a common teaching program for the universities of Bern, Fribourg, Geneva, Neuchatel and Lausanne, as well as for the Swiss Federal Institute of Technology in Lau sanne. The scope of the course should be sufficiently general to interest both experimentalists and theoreticians wishing to engage in research in condensed matter or nuclear and particle physics. The prerequisites are an introductory course to quantum mechanics and elements of classical electromagnetism and statistical mechanics. Our main concern was how to maintain a reasonably broad level of know ledge for students with different orientations, in a world of research where the price of survival is extreme specialization and competitiveness. Is it still possible in the available time to provide a cultural education in physics by relatively elementary means and in an optimized form? We believe that this is an essential pedagogical duty. Attempting to meet this challenge has de termined the conception of this book: each individual part of it is standard and without novelty but should belong, in our opinion, to the basic culture of every physicist; only their common organization in a single house of decent siz;e might possibly be put to our credit.