Something of The Book

PDF EPUB Library of e-Books

Continuous Quantum Measurements and Path Integrals

2017-10-19
Continuous Quantum Measurements and Path Integrals

Author: M.B Mensky

Publisher: Routledge

ISBN: 9781351458023

Category: Science

Page: 171

View: 929

Download BOOK »
Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Continuous Quantum Measurements and Path Integrals

2017-10-19
Continuous Quantum Measurements and Path Integrals

Author: M.B Mensky

Publisher: CRC Press

ISBN: 9781351458030

Category: Science

Page: 188

View: 478

Download BOOK »
Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Quantum Measurements and Decoherence

2013-04-17
Quantum Measurements and Decoherence

Author: M. Mensky

Publisher: Springer Science & Business Media

ISBN: 9789401595667

Category: Science

Page: 231

View: 503

Download BOOK »
Quantum measurement (Le., a measurement which is sufficiently precise for quantum effects to be essential) was always one of the most impor tant points in quantum mechanics because it most evidently revealed the difference between quantum and classical physics. Now quantum measure ment is again under active investigation, first of all because of the practical necessity of dealing with highly precise and complicated measurements. The nature of quantum measurement has become understood much bet ter during this new period of activity, the understanding being expressed by the concept of decoherence. This term means a physical process lead ing from a pure quantum state (wave function) of the system prior to the measurement to its state after the measurement which includes classical elements. More concretely, decoherence occurs as a result of the entangle ment of the measured system with its environment and results in the loss of phase relations between components of the wave function of the measured system. Decoherence is essentially nothing else than quantum measurement, but considered from the point of view of its physical mechanism and resolved in time. The present book is devoted to the two concepts of quantum measure ment and decoherence and to their interrelation, especially in the context of continuous quantum measurement.

Decoherence: Theoretical, Experimental, and Conceptual Problems

2008-01-11
Decoherence: Theoretical, Experimental, and Conceptual Problems

Author: P. Blanchard

Publisher: Springer

ISBN: 9783540466574

Category: Computers

Page: 345

View: 242

Download BOOK »
In this book the process of decoherence is reviewed from both the theoretical and the experimental physicist's point of view. Implications of this important concept for fundamental problems of quantum theory and for chemistry and biology are also given. This broad review of decoherence addresses researchers and graduate students. It could also be used in seminar work.

Mathematical Theory of Feynman Path Integrals

2008-05-06
Mathematical Theory of Feynman Path Integrals

Author: Sergio Albeverio

Publisher: Springer

ISBN: 9783540769569

Category: Mathematics

Page: 182

View: 707

Download BOOK »
The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

2017-03-14
Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

Author: Antonio B. Nassar

Publisher: Springer

ISBN: 9783319536538

Category: Science

Page: 241

View: 578

Download BOOK »
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.

Classical And Quantum Systems: Foundations And Symmetries - Proceedings Of The 2nd International Wigner Symposium

1993-01-19
Classical And Quantum Systems: Foundations And Symmetries - Proceedings Of The 2nd International Wigner Symposium

Author: Doebner Heinz-dietrich

Publisher: World Scientific

ISBN: 9789814554398

Category:

Page: 816

View: 523

Download BOOK »
The Wigner Symposium series is focussed on fundamental problems and new developments in physics and their experimental, theoretical and mathematical aspects. Particular emphasis is given to those topics which have developed from the work of Eugene P Wigner. The 2nd Wigner symposium is centered around notions of symmetry and geometry, the foundations of quantum mechanics, quantum optics and particle physics. Other fields like dynamical systems, neural networks and physics of information are also represented.This volume brings together 19 plenary lectures which survey latest developments and more than 130 contributed research reports.

Quantum Measurements in Optics

2012-12-06
Quantum Measurements in Optics

Author: Paolo Tombesi

Publisher: Springer Science & Business Media

ISBN: 9781461533863

Category: Technology & Engineering

Page: 429

View: 471

Download BOOK »
The NATO Advanced Research Workshop on Quantum Measurements in Optics was held in Cortina d'Ampezzo, Italy, January 21-25, 1991. This workshop was attended by 70 participants from 16 different countries. The subjects discussed at this workshop concentrated on quantum measurements in optics made possible by the recent advances in the generation and detection of light with low quantum noise. These advances have occurred simultaneously with the development of atomic traps capable of trapping a single atom for a considerable period of time. The interaction of a single two level atom with the single mode of the electromagnetic field is now possible in high Q microcavities. A new field of cavity QED has developed studying the properties of Rydberg atoms in microwave cavities. At this meeting we heard the first report of an atomic interferometer where a single atom passing through the two slits exhibits wave like interference phenomena. This new field involving the transfer of momentum from photons to atoms has lead to new possibilities for quantum nondemolition measurements on an optical field. We heard suggestions for such measurements at this meeting. With the new light sources available the possibility of using low quantum noise light in optical communications becomes close to reality. The problem of the propagation of quantum light field in optical fibres was actively discussed at this meeting.

Mathematical Feynman Path Integrals And Their Applications (Second Edition)

2021-11-16
Mathematical Feynman Path Integrals And Their Applications (Second Edition)

Author: Sonia Mazzucchi

Publisher: World Scientific

ISBN: 9789811214806

Category: Science

Page: 360

View: 960

Download BOOK »
Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.

Quantum Gravity

1991-07-30
Quantum Gravity

Author: M A Markov

Publisher: World Scientific

ISBN: 9789814569552

Category:

Page: 716

View: 623

Download BOOK »
This is the fifth in the important series of Moscow Seminars on Quantum Gravity. The main topics are Quantum Gravity, Quantum Field Theory in Curved Spacetime, Quantum Black Hole Physics, Quantum Cosmology, Early Universe, Kaluza-Klein Theory, Superstrings and Superstring Cosmology and all that. Contents:Quantum Gravity: General:On Some Problems of Quantum and Classical Gravitation (M A Markov)Lattice Quantization of the 0 (1,2)/0 (2) x Z2 Sigma Model in 4 Dimensions (B S Dewitt)Third Quantization of Gravity and the Cosmological Constant Problem (V A Rubakov)No Time and Quantum Gravity (W G Unruh)Minisuperspace Wavefunctions for Cosmology and Wormholes (D N Page)Wave Funstions Constructed from an Invariant Sum-Over-Histories Satisfy Constraints: Three Derivations of the Wheeler-DeWitt Equation (J J Halliwell & J B Hartle)Supersymmetric Quantum Wormhole States (P D D'Eath)On the Conformal Factor Problem in Quantum Gravity (Yu V Novozhilov & D V Vassilevich)Wα-Geometry and Wα-Gravity (K S Stelle)Uncertainty and Equivalence Principles in Quantum General Relativity (H-H V Borzeszkowski)Three-Dimensional Four-Fermion (Vector) x (Vector) Model is Renormlizable and Ultraviolet Finite (N V Krasnikov & A B Kyatkin)Quantum Theory of Particles with Planckean Masses (A A Grib & V Yu Dorofeev)Quantum Effects in Black Holes and in Accelerated Frames:Quantum String Gravity Near the Planck Scale (G Veneziano)More on the Black Hole S-Matrix (G 't Hooft)Vacuum Polarization in a Locally Static Multiply-Connected Spacetime and a Time Machine Problem (V P Frolov)Inequalities which Constrain Negative Energy in Quantum Field Theory (L H Ford)On a Quantum Mechanical Model of a Black Hole (V A Berezin)Light Like Surface Layers in General Relativity (C BarrabŻs & W Israel)Hamiltoniam Diagonalization in Curved Space (M Castagnino et al)Very Early Universe:One-Loop Quantum Cosmology: the General Semiclassical Solution of the Wheeler-De Witt Equations and its Applications (A O Barvinsky & A Yu Kamenshchik)Experimental Constraints on Dark Matter (J Ellis)The Self-Measurement of the Universe and the Concept of Time in Quantum Cosmology (M B Mensky)Mechanical Properties and Cosmological Implications of Current Carrying Cosmic Strings (B Carter)Quantum String Theory in Curved Space-Time (N Sanchez)Quantum Processes in the Gravitational Field of a Cosmic string (V D Skarzhinsky & D D Harari)Thermodynamics of the Neutral String Gas in Electromagnetic Background (E S Fradkin et al)The Problem of the Wave Function of the Universe in the Radiation Dominated Case (E Gunzig)Kaluza-Klein Models: From Quantum State to Observations (U Bleyer)Space-Time Dimension of the Universe (H Terazawa)On the Origin of Classical Density Perturbations in the Inflationary Universe (R Brandenberger et al )Squeezed Quantum States in Theory of Cosmological Perturbations (L P Grishchuk & Yu V Sidorov)and other papers Readership: Astrophysicists and cosmologists. keywords:

Progress in Optics

2000-02-09
Progress in Optics

Author:

Publisher: Elsevier

ISBN: 9780080962917

Category: Science

Page: 479

View: 199

Download BOOK »
The publication of volume forty of Progress in Optics marks a significant milestone. Volume one was published in 1961, a year after the invention of the laser, an event which triggered a wealth of new and exciting developments. Many of them have been reported in the 234 review articles published in this series since its inception.The present volume contains six review articles on a variety of subjects of current research interests. The first is concerned with polarimetric optical fibers and sensors, and reviews the main efforts and achievements in this field within the last two decades.The second article presents a review of recent researches on digital optical computing. After introducing the basic concepts needed for understanding the developments in this field, some feasibility experiments as well as software studies are discussed.