Mathematical Horizons For Quantum Physics


Mathematical Horizons For Quantum Physics
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Mathematical Horizons For Quantum Physics


Mathematical Horizons For Quantum Physics
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Author : Huzihiro Araki
language : en
Publisher: World Scientific
Release Date : 2010

Mathematical Horizons For Quantum Physics written by Huzihiro Araki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.


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



Mathematical Horizons For Quantum Physics


Mathematical Horizons For Quantum Physics
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Old Problems And New Horizons In World Physics


Old Problems And New Horizons In World Physics
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Author : Volodymyr Krasnoholovets
language : en
Publisher:
Release Date : 2019

Old Problems And New Horizons In World Physics written by Volodymyr Krasnoholovets and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematical physics categories.


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.



The Far Horizons Of Time


The Far Horizons Of Time
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Author : H. Chris Ransford
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-04-24

The Far Horizons Of Time written by H. Chris Ransford 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 2015-04-24 with Science categories.


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.



Mathematical Horizons For Quantum Physics


Mathematical Horizons For Quantum Physics
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Author : Huzihiro Araki
language : en
Publisher: World Scientific
Release Date : 2010

Mathematical Horizons For Quantum Physics written by Huzihiro Araki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.


Literaturangaben



Local Quantum Physics


Local Quantum Physics
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Author : Rudolf Haag
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Local Quantum Physics written by Rudolf Haag 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 2012-12-06 with Science categories.


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.



Non Selfadjoint Operators In Quantum Physics


Non Selfadjoint Operators In Quantum Physics
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Author : Fabio Bagarello
language : en
Publisher: John Wiley & Sons
Release Date : 2015-07-24

Non Selfadjoint Operators In Quantum Physics written by Fabio Bagarello and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Science categories.


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.



Quantum Field Theory And Gravity


Quantum Field Theory And Gravity
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Author : Felix Finster
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-08

Quantum Field Theory And Gravity written by Felix Finster 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 2012-02-08 with Mathematics categories.


One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.



Hilbert Space And Quantum Mechanics


Hilbert Space And Quantum Mechanics
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Author : Franco Gallone
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-12-23

Hilbert Space And Quantum Mechanics written by Franco Gallone and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Science categories.


The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface. The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.



Quantum Mechanics And Quantum Field Theory


Quantum Mechanics And Quantum Field Theory
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Author : Jonathan Dimock
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03

Quantum Mechanics And Quantum Field Theory written by Jonathan Dimock 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 2011-02-03 with Science categories.


Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.