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Author : Wojciech Czaja
Publisher :
ISBN 13 : 9780817644901
Total Pages : 350 pages
Book Rating : 4.6/5 (449 download)
Download or read book Wave Packets and Related Transforms written by Wojciech Czaja and published by . This book was released on 2008 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christoph Thiele
Publisher : American Mathematical Soc.
ISBN 13 : 0821836617
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)
Download or read book Wave Packet Analysis written by Christoph Thiele and published by American Mathematical Soc.. This book was released on 2006 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.:/5 (756 download)
Download or read book Wave Packets and Related Transforms written by and published by . This book was released on 2011 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fabio Nicola
Publisher : Springer Nature
ISBN 13 : 3031061861
Total Pages : 220 pages
Book Rating : 4.0/5 (31 download)
Download or read book Wave Packet Analysis of Feynman Path Integrals written by Fabio Nicola and published by Springer Nature. This book was released on 2022-07-28 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Antonio Barletta
Publisher : Springer
ISBN 13 : 3030061949
Total Pages : 283 pages
Book Rating : 4.0/5 (3 download)
Download or read book Routes to Absolute Instability in Porous Media written by Antonio Barletta and published by Springer. This book was released on 2019-01-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.
Author : Nouredine Zettili
Publisher : John Wiley & Sons
ISBN 13 : 0470026782
Total Pages : 691 pages
Book Rating : 4.4/5 (7 download)
Download or read book Quantum Mechanics written by Nouredine Zettili and published by John Wiley & Sons. This book was released on 2009-02-17 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics: Concepts and Applications provides a clear, balanced and modern introduction to the subject. Written with the student’s background and ability in mind the book takes an innovative approach to quantum mechanics by combining the essential elements of the theory with the practical applications: it is therefore both a textbook and a problem solving book in one self-contained volume. Carefully structured, the book starts with the experimental basis of quantum mechanics and then discusses its mathematical tools. Subsequent chapters cover the formal foundations of the subject, the exact solutions of the Schrödinger equation for one and three dimensional potentials, time-independent and time-dependent approximation methods, and finally, the theory of scattering. The text is richly illustrated throughout with many worked examples and numerous problems with step-by-step solutions designed to help the reader master the machinery of quantum mechanics. The new edition has been completely updated and a solutions manual is available on request. Suitable for senior undergradutate courses and graduate courses.
Author : G. Dattoli
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (126 download)
Download or read book Linear potentials, airy wave packets and airy transform written by G. Dattoli and published by . This book was released on 2010 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N.P. Bigelow
Publisher : Springer Science & Business Media
ISBN 13 : 1441989072
Total Pages : 699 pages
Book Rating : 4.4/5 (419 download)
Download or read book Coherence and Quantum Optics VIII written by N.P. Bigelow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eighth Rochester Conference on Coherence and Quantum Optics was held on the campus of the University of Rochester during the period June 13-16,2001. This volume contains the proceedings of the meeting. The meeting was preceded by an affiliated conference, the International Conference on Quantum Information, with some overlapping sessions on June 13. The proceedings of the affiliated conference will be published separately by the Optical Society of America. A few papers that were presented in common plenary sessions of the two conferences will be published in both proceedings volumes. More than 268 scientists from 28 countries participated in the week long discussions and presentations. This Conference differed from the previous seven in the CQO series in several ways, the most important of which was the absence of Leonard Mandel. Professor Mandel died a few months before the conference. A special memorial symposium in his honor was held at the end of the conference. The presentations from that symposium are included in this proceedings volume. An innovation, that we believe made an important contribution to the conference, was the inclusion of a series of invited lectures chaired by CQO founder Emil Wolf, reviewing the history of the fields of coherence and quantum optics before about 1970. These were given by three prominent participants in the development of the field, C. Cohen-Tannoudji, 1. F. Clauser, and R. I. Glauber.
Author : Maurice A. de Gosson
Publisher : Springer Science & Business Media
ISBN 13 : 3764375752
Total Pages : 375 pages
Book Rating : 4.7/5 (643 download)
Download or read book Symplectic Geometry and Quantum Mechanics written by Maurice A. de Gosson and published by Springer Science & Business Media. This book was released on 2006-08-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.
Author : Vladimir E. Nazaikinskii
Publisher : CRC Press
ISBN 13 : 9780415273640
Total Pages : 372 pages
Book Rating : 4.2/5 (736 download)
Download or read book Quantization Methods in the Theory of Differential Equations written by Vladimir E. Nazaikinskii and published by CRC Press. This book was released on 2002-05-16 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and research-level readers.
Author : Hanen Idoudi
Publisher : Springer Nature
ISBN 13 : 3030149390
Total Pages : 239 pages
Book Rating : 4.0/5 (31 download)
Download or read book Smart Systems for E-Health written by Hanen Idoudi and published by Springer Nature. This book was released on 2021-04-15 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to review the recent advances in E-health technologies and applications. In particular, the book investigates the recent advancements in physical design of medical devices, signal processing and emergent wireless technologies for E-health. In a second part, novel security and privacy solutions for IoT-based E-health applications are presented. The last part of the book is focused on applications, data mining and data analytics for E-health using artificial intelligence and cloud infrastructure. E-health has been an evolving concept since its inception, due to the numerous technologies that can be adapted to offer new innovative and efficient E-health applications. Recently, with the tremendous advancement of wireless technologies, sensors and wearable devices and software technologies, new opportunities have arisen and transformed the E-health field. Moreover, with the expansion of the Internet of Things, and the huge amount of data that connected E-health devices and applications are generating, it is also mandatory to address new challenges related to the data management, applications management and their security. Through this book, readers will be introduced to all these concepts. This book is intended for all practitioners (industrial and academic) interested in widening their knowledge in wireless communications and embedded technologies applied to E-health, cloud computing, artificial intelligence and big data for E-health applications and security issues in E-health.
Author : Ian Percival
Publisher : Cambridge University Press
ISBN 13 : 0521620074
Total Pages : 200 pages
Book Rating : 4.5/5 (216 download)
Download or read book Quantum State Diffusion written by Ian Percival and published by Cambridge University Press. This book was released on 1998-12-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to quantum state diffusion - suitable for graduate students and researchers.
Author : B.P. Komrakov
Publisher : Springer Science & Business Media
ISBN 13 : 9401152586
Total Pages : 442 pages
Book Rating : 4.4/5 (11 download)
Download or read book Lie Groups and Lie Algebras written by B.P. Komrakov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations.
Author : Jagdish Mehra
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989716
Total Pages : 720 pages
Book Rating : 4.9/5 (897 download)
Download or read book The Probability Interpretation and the Statistical Transformation Theory, the Physical Interpretation, and the Empirical and Mathematical Foundations of Quantum Mechanics 1926–1932 written by Jagdish Mehra and published by Springer Science & Business Media. This book was released on 2000-08-25 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.
Author : Vladimir Nazaikinskii
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (258 download)
Download or read book Wave Packet Transform in Symplectic Geobetry and Asymptotic Quantization written by Vladimir Nazaikinskii and published by . This book was released on 1996 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0080540465
Total Pages : 947 pages
Book Rating : 4.0/5 (85 download)
Download or read book Relativistic Electronic Structure Theory - Fundamentals written by and published by Elsevier. This book was released on 2002-11-22 with total page 947 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of this two part series is concerned with the fundamental aspects of relativistic quantum theory, outlining the enormous progress made in the last twenty years in this field. The aim was to create a book such that researchers who become interested in this exciting new field find it useful as a textbook, and do not have to rely on a rather large number of specialized papers published in this area. · No title is currently available that deals with new developments in relativistic quantum electronic structure theory · Interesting and relevant to graduate students in chemistry and physics as well as to all researchers in the field of quantum chemistry · As treatment of heavy elements becomes more important, there will be a constant demand for this title
Author : Jean-Louis Basdevant
Publisher : Springer Science & Business Media
ISBN 13 : 3540288058
Total Pages : 524 pages
Book Rating : 4.5/5 (42 download)
Download or read book Quantum Mechanics written by Jean-Louis Basdevant and published by Springer Science & Business Media. This book was released on 2006-05-16 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives a fresh and modern approach to the field. It is a textbook on the principles of the theory, its mathematical framework and its first applications. It constantly refers to modern and practical developments, tunneling microscopy, quantum information, Bell inequalities, quantum cryptography, Bose-Einstein condensation and quantum astrophysics. The book also contains 92 exercises with their solutions.
