Selected Special Functions For Fundamental Physics
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Selected Special Functions For Fundamental Physics
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Author : Valeriya Akhmedova
language : en
Publisher: Springer Nature
Release Date : 2019-11-14
Selected Special Functions For Fundamental Physics written by Valeriya Akhmedova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Science categories.
This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals.
Special Functions
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Author : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov
language : en
Publisher: Oxford University Press, USA
Release Date : 2000
Special Functions written by Sergeĭ I︠U︡rʹevich Slavi︠a︡nov and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
Special Functions Of Mathematical Physics
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Author : Arnold F. Nikiforov
language : en
Publisher:
Release Date : 1988
Special Functions Of Mathematical Physics written by Arnold F. Nikiforov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Functions, Special categories.
Fifty Years Of Mathematical Physics
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Author : Molin Ge
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-02-16
Fifty Years Of Mathematical Physics written by Molin Ge and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-16 with Science categories.
This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.
Frontiers Of Fundamental Physics And Physics Education Research
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Author : Burra G. Sidharth
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-20
Frontiers Of Fundamental Physics And Physics Education Research written by Burra G. Sidharth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-20 with Science categories.
In a knowledge-based society, research into fundamental physics plays a vital role not only in the enhancement of human knowledge but also in the development of new technology that affects everyday life.The international symposium series Frontiers of Fundamental Physics (FFP) regularly brings together eminent scholars and researchers working in various areas in physics to exchange expertise, ideas, results, and new research perspectives. The twelfth such symposium, FFP12, took place at the University of Udine, Italy, and covered diverse fields of research: astrophysics, high energy physics and particle physics, theoretical physics, gravitation and cosmology, condensed matter physics, statistical physics, computational physics, and mathematical physics. Importantly, it also devoted a great deal of attention to physics education research, teacher training in modern physics, and popularization of physics. The high scientific level of FFP12 was guaranteed by the careful selection made by scientific coordinators from among 250 submissions from 28 countries across the world. During the three days of the conference, nine general talks were delivered in plenary sessions, 29 invited talks were given in specific topic areas, and 59 oral presentations were made. This book presents a selection of the best contributions at FFP12 with the aim of acquainting readers with the most important recent advances in fundamental physics and in physics education and teacher development.
Fundamental Physics Selected Topics On High Energy And Astroparticle Physics Proceedings Of The 25th International Winter Meeting
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Author : M Aguilar-benitez
language : en
Publisher: World Scientific
Release Date : 1998-08-05
Fundamental Physics Selected Topics On High Energy And Astroparticle Physics Proceedings Of The 25th International Winter Meeting written by M Aguilar-benitez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-05 with Science categories.
This book contains review talks on many current topics in high energy particle physics and astroparticle physics, such as the status of precision tests of the Standard Model, tau and B physics at LEP, precision tests of QCD at LEP, WW physics and searches at LEP-2, heavy quark physics at the Tevatron collider, QCD studies at HERA, very high energy gamma astronomy, physics prospects at the LHC, physics prospects at linear colliders, and others. It also contains short status reports on several approved or planned experiments, namely DIRAC, HERA-B, AMS and ANTARES.
Fundamental Physics At The Vigier Centenary L Heretique De La Physique Lives On
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Author : Richard L Amoroso
language : en
Publisher: World Scientific
Release Date : 2021-08-27
Fundamental Physics At The Vigier Centenary L Heretique De La Physique Lives On written by Richard L Amoroso and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-27 with Science categories.
There has not been a scientific revolution for about 100 years. One seems imminent, as QED has recently been violated at the Sigma-6 level. Kuhn, in 'The Structure of Scientific Revolutions', used Wittgenstein's famous duck-rabbit optical illusion to demonstrate how bias in interpretation causes scientists to see the same information in radically different manners, which is likely to have delayed the pending paradigm shift. Jean-Pierre Vigier, continually labeled l'hérétique de la physique and l'eternel resistant in French media, remains a pillar of modern mathematical physics. 'Heretical' works of Vigier related to extended electromagnetic theory incorporating photon mass and a longitudinal B(3) EM field, gravity, quantum theory, large-scale additional dimensions, the Dirac polarized vacuum and many more related issues are deemed by his followers to be essential to the evolution of physics. The phrase 'Lives On' was chosen in the title of this volume to claim ignored portions of his work are relevant to implementing the Paradigm Shift to an Einsteinian Unified Field Theory. Specifically, chapters about the Dirac Hypertube, Tight-Bound States and Spacetime programming provide required insights into crossing the dimensional barrier and 'proving' parts of M-Theoretic dimensionality. As happens periodically in the history of science, we live in a climate where coloring outside-the-box can have severe myopic consequences such as difficulties in passing PhD exams, challenges in grant approval or problems in receiving tenure. Since there is no conflict with Gauge Theory, once realized, many chapters in this important volume will aid in facilitating progress in physics beyond the Standard Model.
Special Functions
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Author : George E. Andrews
language : en
Publisher: Cambridge University Press
Release Date : 1999
Special Functions written by George E. Andrews 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 1999 with Mathematics categories.
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Computation Of Special Functions
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Author : Shanjie Zhang
language : en
Publisher: Wiley-Interscience
Release Date : 1996-07-26
Computation Of Special Functions written by Shanjie Zhang and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-26 with Mathematics categories.
Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to the special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the program's algorithms as well as specific information about each program's internal structure.
Special Functions Their Applications
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Author : N. N. Lebedev
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Special Functions Their Applications written by N. N. Lebedev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.