Mathematical Horizons For Quantum Physics

Author : Huzihiro Araki
Publisher : World Scientific
ISBN 13 : 981446466X
Total Pages : 221 pages
Book Rating : 4.66/5 ( download)

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Download or read book Mathematical Horizons For Quantum Physics written by Huzihiro Araki and published by World Scientific. This book was released on 2010-06-28 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory is one of the most important intellectual developments in the early twentieth century. The confluence of mathematics and quantum physics emerged arguably from Von Neumann's seminal work on the spectral theory of linear operators. This volume arose from a two-month workshop held at the Institute for Mathematical Sciences at the National University of Singapore in July-September 2008 on mathematical physics, focusing specifically on operator algebras in quantum theory.This volume is essentially written for graduate students and young researchers so that they can acquire a gentle introduction to the application of operator algebras to quantum information sciences, chaotic and many-body problems. Several lecture notes delivered during the workshop by experts in the field were specially commissioned for this volume.

Author : Huzihiro Araki
Publisher : World Scientific
ISBN 13 : 9814313327
Total Pages : 221 pages
Book Rating : 4.22/5 ( download)

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Download or read book Mathematical Horizons for Quantum Physics written by Huzihiro Araki and published by World Scientific. This book was released on 2010 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of the molecular alignment or orientation by laser pulses / Arne Keller -- Quantum computing and devices : A short introduction / Zhigang Zhang, Viswanath Ramakrishna and Goong Chen -- Dynamics of mixed classical-quantum systems, geometric quantization and coherent states / Hans-Rudolf Jauslin and Dominique Sugny -- Quantum memories as open systems / Robert Alicki -- Two mathematical problems in quantum information theory / Alexander S. Holevo -- Dissipatively induced bipartite entanglement / Fabio Benatti -- Scattering in nonrelativistic quantum field theory / Jan Derezinski -- Mathematical theory of atoms and molecules / Volker Bach

Author : Huzihiro Araki
Publisher : World Scientific
ISBN 13 : 9814313319
Total Pages : 221 pages
Book Rating : 4.15/5 ( download)

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Download or read book Mathematical Horizons for Quantum Physics written by Huzihiro Araki and published by World Scientific. This book was released on 2010 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Literaturangaben

Author : Volodymyr Krasnoholovets
Publisher :
ISBN 13 : 9781536154306
Total Pages : 0 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Old Problems and New Horizons in World Physics written by Volodymyr Krasnoholovets and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by 13 contributors from different regions of the World, this book is a collection of papers written by researchers who have been working toward defining new concepts in the sciences for years. Among the new approaches, new views have been developed based on the emerging mathematical principles, the observation of possible relationships between physical processes, and ideas inspired by firsthand experience penetrating elusive realms. In the frame of the new explanatory theoretic models, matter and energy may be different characteristics of a physical system and "equivalence" between matter and energy becomes not so obvious. Quantum Mechanics was developed based on the assumption that electron mass is constant. Variable electron mass automatically rules out the entirety of quantum mechanics. Electron mass can change during chemical and biological processes and then other characteristics modify correspondingly. It is accepted that the Special Theory of Relativity (STR) does not contradict quantum mechanics, but in reality, the opposite is true. Even for a non-rocket scientist, this contradiction becomes evident with the simplest analysis of energy mass and energy equivalence formula. In simple words, the formula assumes that if energy is quantized, mass must be quantized too. How do atomic particles know how much mass to convert into energy and keep the same proportion in the conversion? Maybe one proton or one neutron converts more mass than his neighbor does! If protons and neutrons can be fragmented and divided using the MeV energy order, then why do we need CERN or other large nuclear facilities?Contributors of this volume:* George Shpenkov. Institute of Mathematics & Physics, UTA, Bydgoszcz, Poland.* Leonid Kreidik. Minsk, Belarus.* Volodymyr Krasnoholovets. Senior Research Scientist, Department of Theoretical Physics, Institute of Physics, National Academy of Sciences of Ukraine. Kyiv, Ukraine. * Victor Christianto. Malang Institute of Agriculture (IPM), Indonesia.* Florentin Smarandache. Chair of Mathematics and Sciences, University of New Mexico, New Mexico, USA. Gallup, New Mexico 87301, USA. * Robert Neil Boyd. Consulting physicist for Princeton Biotechnology Corporation, Dept. Information Physics Research.* Adrian Klein. Cognitive neuropsychology, PhD Metaphysical sciences, Parapsychological Association, ECAO, ISPE, IQN, AAPS, AAAS. Affiliation: ECAO Aff., Israel.* Akira Kanda. Professor of Mathematics and Logic. Omega Mathematical Institute. * Mihai Prunescu. University of Bucharest. * Renata Wong. Nanjing University, China.* Arnold Gorgels. Mathematical Physics, Institute in Potsdam, Member DPG, Germany* Ying-Qiu Gu. School of Mathematical Science, Fudan University, China.

Author : Stephen Bruce Sontz
Publisher : Springer Nature
ISBN 13 : 3030407675
Total Pages : 299 pages
Book Rating : 4.74/5 ( download)

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Download or read book An Introductory Path to Quantum Theory written by Stephen Bruce Sontz and published by Springer Nature. This book was released on 2020-03-16 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Teiko Heinosaari
Publisher : Cambridge University Press
ISBN 13 : 1139503995
Total Pages : 340 pages
Book Rating : 4.90/5 ( download)

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Download or read book The Mathematical Language of Quantum Theory written by Teiko Heinosaari and published by Cambridge University Press. This book was released on 2011-12-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Donald H. Menzel
Publisher : Courier Corporation
ISBN 13 : 0486139107
Total Pages : 432 pages
Book Rating : 4.04/5 ( download)

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Download or read book Mathematical Physics written by Donald H. Menzel and published by Courier Corporation. This book was released on 2012-05-23 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.

Author : Fabio Bagarello
Publisher : John Wiley & Sons
ISBN 13 : 1118855272
Total Pages : 432 pages
Book Rating : 4.70/5 ( download)

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Download or read book Non-Selfadjoint Operators in Quantum Physics written by Fabio Bagarello and published by John Wiley & Sons. This book was released on 2015-09-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses the recent emergence of unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis with potentially significant physical consequences. In addition to prompting a discussion on the role of mathematical methods in the contemporary development of quantum physics, the book features: Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area An overview of recent inventions and advances in understanding functional analytic and algebraic methods for non-selfadjoint operators as well as the use of Krein space theory and perturbation theory Rigorous support of the progress in theoretical physics of non-Hermitian systems in addition to mathematically justified applications in various domains of physics such as nuclear and particle physics and condensed matter physics An ideal reference, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects is useful for researchers, professionals, and academics in applied mathematics and theoretical and/or applied physics who would like to expand their knowledge of classical applications of quantum tools to address problems in their research. Also a useful resource for recent and related trends, the book is appropriate as a graduate-level and/or PhD-level text for courses on quantum mechanics and mathematical models in physics.

Author : H. Chris Ransford
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110440288
Total Pages : 128 pages
Book Rating : 4.87/5 ( download)

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Download or read book The Far Horizons of Time written by H. Chris Ransford and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-04-24 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Time? Assuming no prior specialized knowledge by the reader, the book raises specific, hitherto overlooked questions about how time works, such as how and why anyone can be made to be, at the very same instant, simultaneous with events that are actually days apart. It examines abiding issues in the physics of time or at its periphery which still elude a full explanation ― such as delayed choice experiments, the brain's perception of time during saccadic masking, and more ― and suggests that these phenomena can only exist because they ultimately obey applicable mathematics, thereby agreeing with a modern view that the universe and everything within it, including the mind, are ultimately mathematical structures. It delves into how a number of conundrums, such as the weak Anthropic Principle, could be resolved, and how such resolutions could be tested experimentally. All its various threads converge towards a same new vision of the ultimate essence of time, seen as a side effect from a deeper reality.

Author : Rudolf Haag
Publisher : Springer
ISBN 13 : 9783540610496
Total Pages : 392 pages
Book Rating : 4.99/5 ( download)

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Download or read book Local Quantum Physics written by Rudolf Haag and published by Springer. This book was released on 1996-08-05 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.