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The Physics of Time Reversal

The Physics of Time Reversal
Author: Robert G. Sachs
Publisher: University of Chicago Press
Total Pages: 326
Release: 1987
Genre: Science
ISBN: 0226733319

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The notion that fundamental equations governing the motions of physical systems are invariant under the time reversal transformation (T) has been an important, but often subliminal, element in the development of theoretical physics. It serves as a powerful and useful tool in analyzing the structure of matter at all scales, from gases and condensed matter to subnuclear physics and the quantum theory of fields. The assumption of invariance under T was called into question, however, by the 1964 discovery that a closely related assumption, that of CP invariance (where C is charge conjugation and P is space inversion), is violated in the decay of neutral K mesons. In The Physics of Time Reversal, Robert G. Sachs comprehensively treats the role of the transformation T, both as a tool for analyzing the structure of matter and as a field of fundamental research relating to CP violation. For this purpose he reformulates the definitions of T, P, and C so as to avoid subliminal assumptions of invariance. He summarizes the standard phenomenology of CP violation in the K-meson system and addresses the question of the mysterious origin of CP violation. Using simple examples based on the standard quark model, Sachs summarizes and illustrates how these phenomenological methods can be extended to analysis of future experiments on heavy mesons. He notes that his reformulated approach to conventional quantum field theory leads to new questions about the meaning of the transformations in the context of recent theoretical developments such as non-Abelian gauge theories, and he suggests ways in which these questions may lead to new directions of research.


Wave Propagation and Time Reversal in Randomly Layered Media

Wave Propagation and Time Reversal in Randomly Layered Media
Author: Jean-Pierre Fouque
Publisher: Springer Science & Business Media
Total Pages: 623
Release: 2007-06-30
Genre: Science
ISBN: 0387498087

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The content of this book is multidisciplinary by nature. It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics of wave propagation and modeling of time reversal experiments. It is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. At the end of each chapter there is a section of notes where the authors give references and additional comments on the various results presented in the chapter.


Time-Reversal Symmetry

Time-Reversal Symmetry
Author: Ion I. Geru
Publisher: Springer
Total Pages: 362
Release: 2018-12-31
Genre: Science
ISBN: 3030012107

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This book introduces new developments in the field of Time-Reversal Symmetry presenting, for the first time, the Wigner time-reversal operator in the form of a product of two- or three time-reversal operators of lower symmetry. The action of these operators leads to the sign change of only one or two angular momentum components, not of all of them. It demonstrates that there are six modes of time-reversal symmetry breaking that do not lead to the complete disappearance of the symmetry but to its lowering. The full restoration of the time-reversal symmetry in the six cases mentioned is possible by introducing six types of metaparticles. The book also confirms the presence of six additional time-reversal operators using a group-theoretical method. The problem is only where to seek these metaparticles. The book discusses time-reversal symmetry in classical mechanics, classical and relativistic electrodynamics, quantum mechanics and theory of quantized fields, including dynamical reversibility and statistical irreversibility of the time, Wigner’s and Herring’s criteria, Kramers theorem, selection rules due to time-reversal symmetry, Onsager’s relations, Poincaré recurrence theorem, and CPT theorem. It particularly focuses attention on time-reversal symmetry violation. It is proposed a new method of testing the time-reversal symmetry, which is confirmed experimentally by EPR spectroscopy data. It shows that the traditional black-white point groups of magnetic symmetry are not applicable to magnetic systems with Kramers degeneration of energy levels and that magnetic groups of four-color symmetry are adequate for them. Further, it addresses the predicted structural distortions in Kramers three-homonuclear magnetic clusters due to time-reversal symmetry that have been identified experimentally. Lastly, it proposes a method of synthesis of two-nuclear coordination compounds with predictable magnetic properties, based on the application of the time-reversal transformation that was confirmed experimentally.


Electromagnetic Time Reversal

Electromagnetic Time Reversal
Author: Farhad Rachidi
Publisher: John Wiley & Sons
Total Pages: 262
Release: 2017-01-09
Genre: Science
ISBN: 1119142105

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The aim of this book is to familiarize the reader with the concept of electromagnetic time reversal, and introduce up-to-date applications of the concept found in the areas of electromagnetic compatibility and power systems. It is original in its approach to describing propagation and transient issues in power networks and power line communication, and is the result of the three main editors' pioneering research in the area.


Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics

Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics
Author: C. Altman
Publisher: Springer Science & Business Media
Total Pages: 299
Release: 2013-03-09
Genre: Science
ISBN: 9401579156

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The choice of topics in this book may seem somewhat arbitrary, even though we have attempted to organize them in a logical structure. The contents reflect the path of 'search and discovery' followed by us, on and off, for the in fact last twenty years. In the winter of 1970-71 one of the authors (C. A. ), on sah baticalleave with L. R. O. Storey's research team at the Groupe de Recherches Ionospheriques at Saint-Maur in France, had been finding almost exact symme tries in the computed reflection and transmission matrices for plane-stratified magnetoplasmas when symmetrically related directions of incidence were com pared. At the suggestion of the other author (K. S. , also on leave at the same institute), the complex conjugate wave fields, used to construct the eigenmode amplitudes via the mean Poynting flux densities, were replaced by the adjoint wave fields that would propagate in a medium with transposed constitutve tensors, et voila, a scattering theorem-'reciprocity in k-space'-was found in the computer output. To prove the result analytically one had to investigate the properties of the adjoint Maxwell system, and the two independent proofs that followed, in 1975 and 1979, proceeded respectively via the matrizant method and the thin-layer scattering-matrix method for solving the scattering problem, according to the personal preferences of each of the authors. The proof given in Chap. 2 of this book, based on the hindsight provided by our later results, is simpler and much more concise.


The Topology of 4-Manifolds

The Topology of 4-Manifolds
Author: Robion C. Kirby
Publisher: Springer
Total Pages: 114
Release: 2006-11-14
Genre: Mathematics
ISBN: 354046171X

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This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.


Time Reversal Acoustics

Time Reversal Acoustics
Author: Woon Siong Gan
Publisher: Springer Nature
Total Pages: 111
Release: 2021-08-06
Genre: Technology & Engineering
ISBN: 9811632359

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This book highlights time reversal acoustics, techniques based on the symmetry properties of acoustic fields. It has the unique feature that the first eleven chapters of the book are on the indepth studies of the theories of time reversal acoustics. The remaining chapters are on the four major applications of time reversal acoustics, together with their experimental setups and case studies: underwater communication, seismic exploration,nondestructive evaluation, and medical ultrasound imaging.. The gauge invariance approach to acoustic fields, proposed by the author in 2007, is confirmed by the successful fabrication of acoustical metamaterials and the applications of time reversal acoustics to superresolution. The book also presents groundbreaking applications of time reversal acoustics to underwater communication technology and the application of metamaterials to time reversal acoustics.


Quantum‐Enhanced Sensing Based on Time Reversal of Entangling Interactions

Quantum‐Enhanced Sensing Based on Time Reversal of Entangling Interactions
Author: Daniel Linnemann
Publisher: Springer
Total Pages: 171
Release: 2018-07-28
Genre: Science
ISBN: 3319960083

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Quantum mechanics entails effects like superpositions and entanglement, which have no classical counterparts. From a technological standpoint these counterintuitive quantum aspects can be viewed as an unexploited resource that can be harnessed to support various tasks, e.g. in the domains of computation, communication, and metrology. In many applications, however, the potential of nonclassical states cannot practically be exploited due to detection inefficiencies. The authors address this limitation by experimentally realizing a novel detection scheme in which entangling interactions are time reversed. In this way, nonclassical many-particle states are disentangled, allowing them to be detected in a robust and technically feasible manner. In the context of quantum metrology, these nonlinear readout techniques extend the class of entangled probe states that can be leveraged for sensing applications without being limited by finite detector resolution. The authors present an active atom interferometer, where both the entangled state preparation and disentangling readout involve parametric amplification. This “SU(1,1)” interferometer is implemented with the help of spinor Bose–Einstein condensates, where amplification is implemented by atomic collisions leading to spin exchange.


Time Reversal Invariance And Parity Violation In Neutron Reactions - Proceedings Of The 2nd International Workshop

Time Reversal Invariance And Parity Violation In Neutron Reactions - Proceedings Of The 2nd International Workshop
Author: Christopher R Gould
Publisher: World Scientific
Total Pages: 262
Release: 1994-01-28
Genre:
ISBN: 9814552291

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The International Workshop on Time Reversal Invariance and Parity Violation in Neutron Reactions focused on the study of parity violation (PV) and time reversal invariance (TRI) in neutron physics. Emphasis was placed on measurements with polarized neutron beams and polarized targets as well as on the implication of recent theoretical developments for the future progress of this rapidly developing and increasingly important field of research.


Time Reversal, an Autobiography

Time Reversal, an Autobiography
Author: A. Abragam
Publisher:
Total Pages: 400
Release: 1989
Genre: Biography & Autobiography
ISBN:

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This book is the story of a physicist who will never see three score years and ten again, and who, during his long and chequered career, has lived through many events, met all kinds of people, known many distinguished scientists, and tried, not always successfully, to bring some original contributions to a field of physics born after the Second World War, nuclear magnetism.