A Trajectory Description Of Quantum Processes
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A Trajectory Description Of Quantum Processes Ii Applications
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Author : Ángel S. Sanz
language : en
Publisher: Springer
Release Date : 2013-09-13
A Trajectory Description Of Quantum Processes Ii Applications written by Ángel S. Sanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-13 with Science categories.
Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning as an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This second volume is focussed on simple and basic applications of quantum processes such as interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering problems. The corresponding analysis is carried out within the Bohmian framework. By stressing its interpretational aspects, the book leads the reader to an alternative and complementary way to better understand the underlying quantum dynamics.
A Trajectory Description Of Quantum Processes
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Author : Ángel S. Sanz
language : en
Publisher:
Release Date : 2012
A Trajectory Description Of Quantum Processes written by Ángel S. Sanz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
A Trajectory Description Of Quantum Processes Ii Applications
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Author : Ángel S. Sanz
language : en
Publisher:
Release Date : 2013-10-31
A Trajectory Description Of Quantum Processes Ii Applications written by Ángel S. Sanz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-31 with categories.
A Trajectory Description Of Quantum Processes I Fundamentals
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Author : Ángel S. Sanz
language : en
Publisher: Springer
Release Date : 2012-03-31
A Trajectory Description Of Quantum Processes I Fundamentals written by Ángel S. Sanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-31 with Science categories.
Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.
A Trajectory Description Of Quantum Processes I Fundamentals
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Author : Ángel S. Sanz
language : en
Publisher: Springer
Release Date : 2012-03-27
A Trajectory Description Of Quantum Processes I Fundamentals written by Ángel S. Sanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-27 with Science categories.
Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.
Quantum Processes
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Author : Wolfram Schommers
language : en
Publisher: World Scientific
Release Date : 2011
Quantum Processes written by Wolfram Schommers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
Space and time are probably the most important elements in physics. Within the memory of man, all essential things are represented within the frame of space-time pictures. This is obviously the most basic information. What can we say about space and time? It is normally assumed that the space is a container filled with matter and that the time is just that which we measure with our clocks. However, there are some reasons to take another standpoint and to consider this container-conception as unrealistic, as prejudice so to say. Already the philosopher Immanuel Kant pointed on this serious problem. In this monograph, the author discusses the so-called projection theory. In contrast to the container-conception (reality is embedded in space and time), within projection theory the physical reality is projected onto space and time and quantum processes are of particular relevance. Like Whitehead and Bergson, the author argues for the primacy of process. One of the most interesting results is that projection theory automatically leads to a new aspect for the notion OC timeOCO. Here we have not only the time of conventional physics, which is exclusively treated as an external parameter, but we obtain within projection theory a system-specific time. Just this system-specific time might be of fundamental importance in the future description of physical systems. For example, the self-assembly of nano-systems could lead to predictions that are even not thinkable within usual physics. Also in connection with cosmology the projection principle must inevitably lead to fundamentally new statements."
Bohmian Mechanics Open Quantum Systems And Continuous Measurements
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Author : Antonio B. Nassar
language : en
Publisher: Springer
Release Date : 2017-03-14
Bohmian Mechanics Open Quantum Systems And Continuous Measurements written by Antonio B. Nassar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-14 with Science categories.
This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.
Quantum Trajectories And Measurements In Continuous Time
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Author : Alberto Barchielli
language : en
Publisher: Springer
Release Date : 2009-07-11
Quantum Trajectories And Measurements In Continuous Time written by Alberto Barchielli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-11 with Science categories.
Quantum trajectory theory is largely employed in theoretical quantum optics and quantum open system theory and is closely related to the conceptual formalism of quantum mechanics (quantum measurement theory). However, even research articles show that not all the features of the theory are well known or completely exploited. We wrote this monograph mainly for researchers in theoretical quantum optics and related ?elds with the aim of giving a self-contained and solid p- sentation of a part of quantum trajectory theory (the diffusive case) together with some signi?cant applications (mainly with purposes of illustration of the theory, but which in part have been recently developed). Another aim of the monograph is to introduce to this subject post-graduate or PhD students. To help them, in the most mathematical and conceptual chapters, summaries are given to ?x ideas. Moreover, as stochastic calculus is usually not in the background of the studies in physics, we added Appendix A to introduce these concepts. The book is written also for ma- ematicians with interests in quantum theories. Quantum trajectory theory is a piece of modern theoretical physics which needs an interplay of various mathematical subjects, such as functional analysis and probability theory (stochastic calculus), and offers to mathematicians a beautiful ?eld for applications, giving suggestions for new mathematical developments.
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
Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes
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Author : De Gosson Maurice A
language : en
Publisher: World Scientific
Release Date : 2017-11-10
Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes written by De Gosson Maurice A and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-10 with Science categories.
The emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant α but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical. Emergence of the Quantum from the Classical provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field. Contents: Hamiltonian MechanicsHamilton–Jacobi TheoryMatter Waves, Schrödinger's Equation, and Bohm's Theory The MetatronUncertainties and Quantum BlobsQuantum States and the Density MatrixVarying Planck's ConstantAppendices: The Symplectic GroupThe Metaplectic RepresentationBorn–Jordan QuantizationTwisted Product and Convolution Readership: Undergraduate and graduate students of mathematics and physics, interested in analysis and differential equations, probability and statistics, geometry and topology and mathematical physics. Keywords: Classical Mechanics;Hamiltonian Mechanics;Quantum Mechanics;Planck's Constant;Mathematical Physics;Algebraic GeometryReview:0