Quantum Trajectories
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Quantum Trajectories
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Author : Pratim Kumar Chattaraj
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Quantum Trajectories written by Pratim Kumar Chattaraj and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area. The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area o
Quantum Trajectories And Measurements In Continuous Time
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Author : Alberto Barchielli
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-21
Quantum Trajectories And Measurements In Continuous Time written by Alberto Barchielli 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 2009-07-21 with Language Arts & Disciplines categories.
This course-based monograph introduces the reader to the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow’s triplet structure, squeezing of the fluorescence light, and the linewidth narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output.
Quantum Dynamics With Trajectories
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Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-20
Quantum Dynamics With Trajectories written by Robert E. Wyatt 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 2005-05-20 with Mathematics categories.
This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers
Supercomputing
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Author : Vladimir Voevodin
language : en
Publisher: Springer
Release Date : 2017-11-14
Supercomputing written by Vladimir Voevodin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-14 with Computers categories.
This book constitutes the refereed proceedings of the Third Russian Supercomputing Days, RuSCDays 2017, held in Moscow, Russia, in September 2017. The 41 revised full papers and one revised short paper presented were carefully reviewed and selected from 120 submissions. The papers are organized in topical sections on parallel algorithms; supercomputer simulation; high performance architectures, tools and technologies.
Interpreting Quantum Mechanics
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Author : David W. Snoke
language : en
Publisher: Cambridge University Press
Release Date : 2024-05-31
Interpreting Quantum Mechanics written by David W. Snoke 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 2024-05-31 with Science categories.
Applied Bohmian Mechanics
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Author : Xavier Oriols Pladevall
language : en
Publisher: CRC Press
Release Date : 2019-05-24
Applied Bohmian Mechanics written by Xavier Oriols Pladevall and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-24 with Science categories.
Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzag route, full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative pathways. Some of the explored routes were successful in providing new mathematical formalisms capable of predicting experiments at the atomic scale. However, even such successful routes were painful enough, so that relevant scientists like Albert Einstein and Erwin Schrödinger decided not to support them. In this book, the authors demonstrate the huge practical utility of another of these routes in explaining quantum phenomena in many different research fields. Bohmian mechanics, the formulation of the quantum theory pioneered by Louis de Broglie and David Bohm, offers an alternative mathematical formulation of quantum phenomena in terms of quantum trajectories. Novel computational tools to explore physical scenarios that are currently computationally inaccessible, such as many-particle solutions of the Schrödinger equation, can be developed from it.
Reviews In Computational Chemistry Volume 27
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Author : Kenny B. Lipkowitz
language : en
Publisher: John Wiley & Sons
Release Date : 2010-09-23
Reviews In Computational Chemistry Volume 27 written by Kenny B. Lipkowitz 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 2010-09-23 with Science categories.
This volume, like those prior to it, features chapters by experts in various fields of computational chemistry. Volume 27 covers brittle fracture, molecular detailed simulations of lipid bilayers, semiclassical bohmian dynamics, dissipative particle dynamics, trajectory-based rare event simulations, and understanding metal/metal electrical contact conductance from the atomic to continuum scales. Also included is a chapter on career opportunities in computational chemistry and an appendix listing the e-mail addresses of more than 2500 people in that discipline. FROM REVIEWS OF THE SERIES "Reviews in Computational Chemistry remains the most valuable reference to methods and techniques in computational chemistry." —JOURNAL OF MOLECULAR GRAPHICS AND MODELLING "One cannot generally do better than to try to find an appropriate article in the highly successful Reviews in Computational Chemistry. The basic philosophy of the editors seems to be to help the authors produce chapters that are complete, accurate, clear, and accessible to experimentalists (in particular) and other nonspecialists (in general)." —JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
Numerical Computations With Gpus
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Author : Volodymyr Kindratenko
language : en
Publisher: Springer
Release Date : 2014-07-03
Numerical Computations With Gpus written by Volodymyr Kindratenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Computers categories.
This book brings together research on numerical methods adapted for Graphics Processing Units (GPUs). It explains recent efforts to adapt classic numerical methods, including solution of linear equations and FFT, for massively parallel GPU architectures. This volume consolidates recent research and adaptations, covering widely used methods that are at the core of many scientific and engineering computations. Each chapter is written by authors working on a specific group of methods; these leading experts provide mathematical background, parallel algorithms and implementation details leading to reusable, adaptable and scalable code fragments. This book also serves as a GPU implementation manual for many numerical algorithms, sharing tips on GPUs that can increase application efficiency. The valuable insights into parallelization strategies for GPUs are supplemented by ready-to-use code fragments. Numerical Computations with GPUs targets professionals and researchers working in high performance computing and GPU programming. Advanced-level students focused on computer science and mathematics will also find this book useful as secondary text book or reference.
Depth
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Author : Michael Strevens
language : en
Publisher: Harvard University Press
Release Date : 2011-09-30
Depth written by Michael Strevens and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-30 with Philosophy categories.
What does it mean for scientists to truly understand, rather than to merely describe, how the world works? Michael Strevens proposes a novel theory of scientific explanation and understanding that overhauls and augments the familiar causal approach to explanation. What is replaced is the test for explanatorily relevant causal information: Strevens discards the usual criterion of counterfactual dependence in favor of a criterion that turns on a process of progressive abstraction away from a fully detailed, physical causal story. The augmentations include the introduction of a new, non-causal explanatory relevance relation—entanglement—and an independent theory of the role of black-boxing and functional specification in explanation. The abstraction-centered notion of difference-making leads to a rich causal treatment of many aspects of explanation that have been either ignored or handled inadequately by earlier causal approaches, including the explanation of laws and other regularities, with particular attention to the explanation of physically contingent high-level laws, idealization in explanation, and probabilistic explanation in deterministic systems, as in statistical physics, evolutionary biology, and medicine. The result is an account of explanation that has especially significant consequences for the higher-level sciences: biology, psychology, economics, and other social sciences.
Dimensions Of Conscious Experience
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Author : Paavo Pylkkänen
language : en
Publisher: John Benjamins Publishing
Release Date : 2001
Dimensions Of Conscious Experience written by Paavo Pylkkänen and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Psychology categories.
It is by now commonly agreed that the proper study of consciousness requires a multidisciplinary approach which focuses on the varieties and dimensions of conscious experience from different angles. This book, which is based on a workshop held at the University of Skövde, Sweden, provides a microcosm of the emerging discipline of consciousness studies and focuses on some important but neglected aspects of consciousness. The book brings together philosophy, psychology, cognitive neuroscience, linguistics, cognitive and computer science, biology, physics, art and the new media. It contains critical studies of subjectivity vs objectivity, nonconceptuality vs conceptuality, language, evolutionary aspects, neural correlates, microphysical level, creativity, visual arts and dreams. It is suitable as a text-book for a third-year undergraduate or a graduate seminar on consciousness studies. (Series A)