The Mathematical Language Of Quantum Theory
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The Mathematical Language Of Quantum Theory
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Author : Teiko Heinosaari
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-15
The Mathematical Language Of Quantum Theory written by Teiko Heinosaari and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-15 with Science categories.
For almost every student of physics, the first course on quantum theory raises a lot of puzzling questions and creates a very uncertain picture of the quantum world. This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instruments. It introduces several up-to-date topics, such as state discrimination, quantum tomography, measurement disturbance and entanglement distillation. A separate chapter is devoted to quantum entanglement. The theory is illustrated with numerous examples, reflecting recent developments in the field. The treatment emphasises quantum information, though its general approach makes it a useful resource for graduate students and researchers in all subfields of quantum theory. Focusing on mathematically precise formulations, the book summarises the relevant mathematics.
An Introductory Path To Quantum Theory
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Author : Stephen Bruce Sontz
language : en
Publisher: Springer Nature
Release Date : 2020-03-16
An Introductory Path To Quantum Theory written by Stephen Bruce Sontz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-16 with Science categories.
Since the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. The mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.
Quantum Physics Meets The Philosophy Of Mind
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Author : Antonella Corradini
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-08-19
Quantum Physics Meets The Philosophy Of Mind written by Antonella Corradini and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-19 with Philosophy categories.
Quantum physics, in contrast to classical physics, allows non-locality and indeterminism in nature. Moreover, the role of the observer seems indispensable in quantum physics. In fact, quantum physics, unlike classical physics, suggests a metaphysics that is not physicalism (which is today’s official metaphysical doctrine). As is well known, physicalism implies a reductive position in the philosophy of mind, specifically in its two core areas, the philosophy of consciousness and the philosophy of action. Quantum physics, in contrast, is compatible with psychological non-reductionism, and actually seems to support it. The essays in this book explore, from various points of view, the possibilities of basing a non-reductive philosophy of mind on quantum physics. In doing so, they not only engage with the ontological and epistemological aspects of the question but also with the neurophysiological ones.
Consistent Quantum Theory
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Author : Robert B. Griffiths
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-13
Consistent Quantum Theory written by Robert B. Griffiths and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-13 with Science categories.
Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrödinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measurement process is consistently analyzed using fundamental quantum principles without referring to measurement. These same principles are used to resolve several of the paradoxes that have long perplexed physicists, including the double slit and Schrödinger's cat. The consistent histories formalism used here was first introduced by the author, and extended by M. Gell-Mann, J. Hartle and R. Omnès. Essential for researchers yet accessible to advanced undergraduate students in physics, chemistry, mathematics, and computer science, this book is supplementary to standard textbooks. It will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.
Quantum Information And Foundations
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Author : Giacomo Mauro D’Ariano
language : en
Publisher: MDPI
Release Date : 2020-03-23
Quantum Information And Foundations written by Giacomo Mauro D’Ariano and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-23 with Mathematics categories.
Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultra-sensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on non-causal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.
Time Reborn
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Author : Lee Smolin
language : en
Publisher: Penguin UK
Release Date : 2013-04-23
Time Reborn written by Lee Smolin and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-23 with Science categories.
In Time Reborn, Lee Smolin, one of our foremost physicists and thinkers offers a radical new view of the nature of time and the cosmos Nothing seems more real than time passing. We experience life itself as a succession of moments. Yet throughout history, the idea that time is an illusion has been a religious and philosophical commonplace. We identify certain truths as 'eternal' constants, from moral principles to the laws of mathematics and nature: these are laws that exist not inside time, but outside it. From Newton and Einstein to today's string theorists and quantum physicists, the widest consensus is that the universe is governed by absolute, timeless laws. In Time Reborn, Lee Smolin argues that this denial of time is holding back both physics, and our understanding of the universe. We need a major revolution in scientific thought: one that embraces the reality of time and places it at the centre of our thinking. E may equal mc squared now, but that wasn't always the case. Similarly, as our understanding of the universe develops, Newton's fundamental laws might not remain so fundamental. Time, Smolin concludes, is not an illusion: it is the best clue we have to fundamental reality. Time Reborn explains how the true nature of time impacts on us, our world, and our universe. 'The strongest dose of clarity in written form to have come along in decades. The implications go far beyond physics, to economics, politics, and personal philosophy. Time Reborn places reality above theory in stronger and clearer terms than ever before, and the result is a path to better theory and potentially to a better society as well. Will no doubt be remembered as one of the essential books of the 21st century' Jaron Lanier [Praise for Lee Smolin's The Trouble With Physics]: 'The best book about contemporary science written for the layman that I have ever read . . . Read this book. Twice' Sunday Times 'Unusually broad and deep . . . his critical judgments are exceptionally penetrating' Roger Penrose 'Brave, uniquely well-informed . . . does a tremendous job' Mail on Sunday Lee Smolin is a theoretical physicist who has made important contributions to the search for quantum gravity. Born in New York City, he was educated at Hampshire College and Harvard University. Since 2001 he is a founding faculty member at Perimeter Institute for Theoretical Physics. His three earlier books explore philosophical issues raised by contemporary physics and cosmology. They are Life of the Cosmos (1997), Three Roads to Quantum Gravity (2001) and The Trouble with Physics (2006). He lives in Toronto.
Complexity And Emergence Proceedings Of The Annual Meeting Of The International Academy Of The Philosophy Of Science
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Author : Evandro Agazzi
language : en
Publisher: World Scientific
Release Date : 2002-12-03
Complexity And Emergence Proceedings Of The Annual Meeting Of The International Academy Of The Philosophy Of Science written by Evandro Agazzi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-03 with Science categories.
Complexity has become a central topic in certain sectors of theoretical physics and chemistry (for example, in connection with nonlinearity and deterministic chaos). Also, mathematical measurements of complexity and formal characterizations of this notion have been proposed. The question of how complex systems can show properties that are different from those of their constituent parts has nurtured philosophical debates about emergence and reductionism, which are particularly important in the study of the relationship between physics, chemistry, biology and psychology. This book offers a good presentation of those topics through a truly interdisciplinary approach in which the philosophy of science and the specialized topics of certain sciences are put in a dialogue.
Mathematics And Science
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Author : Ronald E Mickens
language : en
Publisher: World Scientific
Release Date : 1990-08-23
Mathematics And Science written by Ronald E Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-23 with Mathematics categories.
The purpose of this review volume is to present the opinions of a number of distinguished individuals who have given careful thought as to why mathematics is so “unreasonably effective” when applied to the analysis of the natural sciences.
Eddington S Search For A Fundamental Theory
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Author : C. W. Kilmister
language : en
Publisher: Cambridge University Press
Release Date : 1994
Eddington S Search For A Fundamental Theory written by C. W. Kilmister and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Biography & Autobiography categories.
This 1995 book describes the development of theoretical physics in the first half of this century from the viewpoint of the astrophysicist Arthur Eddington.
Mathematics And Education In An Ai Era
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Author : Dragana Martinovic
language : en
Publisher: Springer Nature
Release Date : 2025-04-25
Mathematics And Education In An Ai Era written by Dragana Martinovic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-25 with Education categories.
This book focuses on the potential contributions of Artificial Intelligence (AI) for enhancing mathematics education. It includes rationales for an AI-oriented pedagogical model, such as interdisciplinarity and even sensitivity to crucial world issues, such as climate change. The chapters in this book highlight what the new age of mathematics education entails concretely, covering themes from the utilization of AI directly into classroom pedagogy and the semiotic consequences of what this entails, to how mathematics training can be tailored to get students to relate concretely to problems of climate change, and to understand the relevance of the differences between symmetry and asymmetry as psychological constructs. The overall picture we can glean from these chapters is not mere eclecticism, but an integration of disciplinary perspectives into a holistic framework that has great relevance and resonance for mathematics education in the age of AI.