Wave Packet Analysis
DOWNLOAD
Download Wave Packet Analysis PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Wave Packet Analysis book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Wave Packet Analysis
DOWNLOAD
Author : Christoph Thiele
language : en
Publisher: American Mathematical Soc.
Release Date :
Wave Packet Analysis written by Christoph Thiele and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The concept of ''wave packet analysis'' originates in Carleson's famous proof of almost everywhere convergence of Fourier series of $L2$ functions. It was later used by Lacey and Thiele to prove bounds on the bilinear Hilbert transform. For quite some time, Carleson's wave packet analysis was thought to be an important idea, but that it had limited applications. But in recent years, it has become clear that this is an important tool for a number of other applications. This book isan introduction to these tools. It emphasizes the classical successes (Carleson's theorem and the Hilbert transform) in the main development. However, the book closes with a dedicated chapter on more recent results. Carleson's original theorem is sometimes cited as one of the most importantdevelopments of 20th century harmonic analysis. The set of ideas stemming from his proof is now seen as an essential element in modern harmonic analysis. Indeed, Thiele won the Salem prize jointly with Michael Lacey for work in this area. The book gives a nice survey of important material, such as an overview of the theory of singular integrals and wave packet analysis itself. There is a separate chapter on ''further developments'', which gives a broader view on the subject, though it does notexhaust all ongoing developments.
Wave Packet Analysis Of Feynman Path Integrals
DOWNLOAD
Author : Fabio Nicola
language : en
Publisher: Springer Nature
Release Date : 2022-07-28
Wave Packet Analysis Of Feynman Path Integrals written by Fabio Nicola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-28 with Science categories.
The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this viewpoint, path integrals can be roughly described in terms of approximation formulas for an operator (usually the propagator of a Schrödinger-type evolution equation) involving a suitably designed sequence of operators. In keeping with the spirit of harmonic analysis, the guiding theme of the book is to illustrate how the powerful techniques of time-frequency analysis - based on the decomposition of functions and operators in terms of the so-called Gabor wave packets – can be successfully applied to mathematical path integrals, leading to remarkable results and paving the way to a fruitful interaction. This monograph intends to build a bridge between the communities of people working in time-frequency analysis and mathematical/theoretical physics, and to provide an exposition of the present novel approach along with its basic toolkit. Having in mind a researcher or a Ph.D. student as reader, we collected in Part I the necessary background, in the most suitable form for our purposes, following a smooth pedagogical pattern. Then Part II covers the analysis of path integrals, reflecting the topics addressed in the research activity of the authors in the last years.
An Introduction To Quantum Theory
DOWNLOAD
Author : Frank S. Levin
language : en
Publisher: Cambridge University Press
Release Date : 2002
An Introduction To Quantum Theory written by Frank S. Levin 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 2002 with Science categories.
An undergraduate introductory quantum mechanics textbook with a large number of figures and exercises.
Tunneling And Its Implications
DOWNLOAD
Author : Adriatico Research Conference on Tunneling and Its Implications 1996, Trieste, Italy
language : en
Publisher: World Scientific
Release Date : 1997
Tunneling And Its Implications written by Adriatico Research Conference on Tunneling and Its Implications 1996, Trieste, Italy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Tunneling (Physics) categories.
"The motion of a particle undergoing quantum tunneling has long been an open and debated problem in several aspects. One of the most discussed is the determination of the time spent in such processes, but many other features deserve consideration. In this volume, both theoretical and experimental aspects, such as quantum measurement, optical analogy, experimental tests, solid state devices and time scale for anomalies (quantum Zeno effect and superluminal evanescence), are explored."--Publisher's website
Nasa Technical Note
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1973
Nasa Technical Note written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Tunneling And Its Implications Proceedings Of The Adriatico Research Conference
DOWNLOAD
Author : D Mugnai
language : en
Publisher: World Scientific
Release Date : 1997-04-19
Tunneling And Its Implications Proceedings Of The Adriatico Research Conference written by D Mugnai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-19 with categories.
The motion of a particle undergoing quantum tunneling has long been an open and debated problem in several aspects. One of the most discussed is the determination of the time spent in such processes, but many other features deserve consideration. In this volume, both theoretical and experimental aspects, such as quantum measurement, optical analogy, experimental tests, solid state devices and time scale for anomalies (quantum Zeno effect and superluminal evanescence), are explored.
Fundamentals Of Classical Fourier Analysis
DOWNLOAD
Author : Shashank Tiwari
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Fundamentals Of Classical Fourier Analysis written by Shashank Tiwari and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Fundamentals of Classical Fourier Analysis" is a comprehensive guide to understanding fundamental concepts, techniques, and applications of Fourier analysis in classical mathematics. This book provides a thorough exploration of Fourier analysis, from its historical origins to modern-day applications, offering readers a solid foundation in this essential area of mathematics. Classical Fourier analysis has been a cornerstone of mathematics and engineering for centuries, playing a vital role in solving problems in fields like signal processing, differential equations, and quantum mechanics. We delve into the rich history of Fourier analysis, tracing its development from Joseph Fourier's groundbreaking work to modern digital signal processing applications. Starting with an overview of fundamental concepts and motivations behind Fourier analysis, we introduce Fourier series and transforms, exploring their properties, convergence, and applications. We discuss periodic and non-periodic functions, convergence phenomena, and important theorems such as Parseval's identity and the Fourier inversion theorem. Throughout the book, we emphasize both theoretical insights and practical applications, providing a balanced understanding of Fourier analysis and its relevance to real-world problems. Topics include harmonic analysis, orthogonal functions, Fourier integrals, and Fourier transforms, with applications in signal processing, data compression, and partial differential equations. Each chapter includes examples, illustrations, and exercises to reinforce key concepts. Historical insights into key mathematicians and scientists' contributions are also provided. Whether you are a student, researcher, or practitioner in mathematics, engineering, or related fields, "Fundamentals of Classical Fourier Analysis" is a comprehensive and accessible resource for mastering Fourier analysis principles and techniques.
Femtochemistry
DOWNLOAD
Author : Ahmed H. Zewail
language : en
Publisher: World Scientific
Release Date : 1994
Femtochemistry written by Ahmed H. Zewail and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Volume II continues with reaction rates, the concept of elementary intramolecular vibrational-energy redistribution (IVR) and the phenomena of rotational coherence which has become a powerful tool for the determination of molecular structure via time resolution. The second volume ends with an extensive list of references, according to topics, based on work by Professor Zewail and his group at Caltech. These collected works by Professor Zewail will certainly be indispensable to both experts and beginners in the field. The author is known for his clarity and for his creative and systematic contributions. These volumes will be of interest and should prove useful to chemists, biologists and physicists. As noted by Professor J. Manz (Berlin) and Professor A.W. Castleman, Jr.
Nonlinear Time Series Analysis In The Geosciences
DOWNLOAD
Author : Reik V. Donner
language : en
Publisher: Springer
Release Date : 2008-08-03
Nonlinear Time Series Analysis In The Geosciences written by Reik V. Donner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-03 with Science categories.
The enormous progress over the last decades in our understanding of the mechanisms behind the complex system “Earth” is to a large extent based on the availability of enlarged data sets and sophisticated methods for their analysis. Univariate as well as multivariate time series are a particular class of such data which are of special importance for studying the dynamical p- cesses in complex systems. Time series analysis theory and applications in geo- and astrophysics have always been mutually stimulating, starting with classical (linear) problems like the proper estimation of power spectra, which hasbeenputforwardbyUdnyYule(studyingthefeaturesofsunspotactivity) and, later, by John Tukey. In the second half of the 20th century, more and more evidence has been accumulated that most processes in nature are intrinsically non-linear and thus cannot be su?ciently studied by linear statistical methods. With mat- matical developments in the ?elds of dynamic system’s theory, exempli?ed by Edward Lorenz’s pioneering work, and fractal theory, starting with the early fractal concepts inferred by Harold Edwin Hurst from the analysis of geoph- ical time series,nonlinear methods became available for time seriesanalysis as well. Over the last decades, these methods have attracted an increasing int- est in various branches of the earth sciences. The world’s leading associations of geoscientists, the American Geophysical Union (AGU) and the European Geosciences Union (EGU) have reacted to these trends with the formation of special nonlinear focus groups and topical sections, which are actively present at the corresponding annual assemblies.
Femtochemistry Ultrafast Dynamics Of The Chemical Bond In 2 Volumes Volume 1
DOWNLOAD
Author : Ahmed H Zewail
language : en
Publisher: World Scientific
Release Date : 1994-09-12
Femtochemistry Ultrafast Dynamics Of The Chemical Bond In 2 Volumes Volume 1 written by Ahmed H Zewail and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-12 with Science categories.
These two volumes on Femtochemistry present a timely contribution to a field central to the understanding of the dynamics of the chemical bond. This century has witnessed great strides in time and space resolutions, down to the atomic scale, providing chemists, biologists and physicists with unprecedented opportunities for seeing microscopic structures and dynamics. Femtochemistry is concerned with the time resolution of the most elementary motions of atoms during chemical change - bond breaking and bond making - on the femtosecond (10-15 second) time scale. This atomic scale of time resolution has now reached the ultimate for the chemical bond and as Lord George Porter puts it, chemists are near the end of the race against time. These two volumes cover the general concepts, techniques and applications of femtochemistry.Professor Ahmed Zewail, who has made the pioneering contributions in this field, has from over 250 publications selected the articles for this anthology. These volumes begin with a commentary and a historical chronology of the milestones. He then presents a broad perspective of the current state of knowledge in femtochemistry by researchers around the world and discusses possible new directions. In the words of a colleague, ';it is a must on the reading-list for all of my students ...; all readers will find this to be an informative and valuable overview.';The introductory articles in Volume I provide reviews for both the non-experts as well as for experts in the field. This is followed by papers on the basic concepts. For applications, elementary reactions are studied first and then complex reactions. Volume I is complete with studies of solvation dynamics, non-reactive systems, ultrafast electron diffraction and the control of chemical reactions.Volume II continues with reaction rates, the concept of elementary intramolecular vibrational-energy redistribution (IVR) and the phenomena of rotational coherence which has become a powerful tool for the determination of molecular structure via time resolution. The second volume ends with an extensive list of references, according to topics, based on work by Professor Zewail and his group at Caltech.These collected works by Professor Zewail will certainly be indispensable to both experts and beginners in the field. The author is known for his clarity and for his creative and systematic contributions. These volumes will be of interest and should prove useful to chemists, biologists and physicists. As noted by Professor J Manz (Berlin) and Professor A W Castleman, Jr. (Penn State): femtochemistry is yielding exciting new discoveries from analysis to control of chemical reactions, with applications in many domains of chemistry and related fields, e.g., physical, organic and inorganic chemistry, surface science, molecular biology, ...; etc.