Fried H.M. Green’s Functions and Ordered Exponentials

формат djvu
размер 1.07 МБ
добавлен 31 декабря 2010 г.

Cambridge University Press 2002
169 pages
This book presents a functional approach to the construction, use and approximation of Green’s function, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each approximation. In addition, it deals with adiabatic and stochastic approximations to unitary ordered exponentials.

Похожие разделы

Смотрите также

Carlson B.C. Special Function of Applied Mathematics

формат djvu
размер 4 МБ
добавлен 03 января 2012 г.

Academic Press, 1978. - 343 Pages. This book is mainly about four functions denoted by r, R, S, and 2 F 0 . The first is the gamma function, Euler's extension of the factorial function 11! to nonintegral values of 11. The other three are hypergeometric functions and embrace as special cases the functions named after Bessel, Hankel, Legendre, Gauss, Kummer, Whittaker, Jacobi, Chebyshev, Gegenbauer, Laguerre, Hermite, and others. The R function u...

Duffy, Dean G. Green’s Functions with Applications

формат djvu
размер 2.65 МБ
добавлен 26 декабря 2010 г.

2001 by Chapman & Hall/CRC Green’s Functions for Ordinary Differential Equations Green’s Functions for the Wave Equation Green’s Function for the Heat Equation Green’s Function for the Helmholtz Equation The Fourier Transform The Laplace Transform Bessel Functions Relationship between Solutions of Helmholtz’s and Laplace’s Equations in Cylindrical and Spherical Coordinates

Franklin P. Fourier methods

формат djvu
размер 2.86 МБ
добавлен 01 февраля 2011 г.

McGraw-Hill, 1949. - 292 pages. This book is an introduction to Fourier series and Laplace transforms. Applications to physical problems involving ordinary and partial differential equations are included. The reader is assumed to have a working knowledge of elementary calculus, but where topics of advanced calculus are needed, they are developed from the beginning. Thus the discussion may help students and technologists to understand works in th...

Haberman R. Elementary Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems

формат djvu
размер 3.88 МБ
добавлен 04 декабря 2010 г.

Prentice Hall, 1987. - 532 p. This text discusses elementary partial differential equations in the engineering and physical sciences. It is suited for courses whose titles include Fourier series, orthogonal functions, or boundary value problems. It may also be used in courses on Green's functions or transform methods. Simple models (heat flow, vibrating strings and membranes) are emphasized. Equations are formulated carefully from physical princi...

Hassani S. Mathematical Physics: A Modern Introduction to Its Foundations

формат pdf
размер 33.79 МБ
добавлен 24 июня 2011 г.

Springer, 1999. - 1046 pages. This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central...

Ismail M., Koelink E. (editors) Theory and Applications of Special Functions

формат pdf
размер 13.41 МБ
добавлен 03 декабря 2011 г.

Sрringer, 2005. - 512 pages. This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups...

Kuttler K. Lecture for Partial Differential Equations

формат djvu
размер 775.01 КБ
добавлен 25 августа 2011 г.

2003. - 151 pages. Review Of Advanced Calculus. Continuous Functions Of One Variable. Exercises. Theorems About Continuous Functions. The Integral. Upper And Lower Sums. Exercises. Functions Of Riemann Integrable Functions. Properties Of The Integral. Fundamental Theorem Of Calculus. Exercises. Multivariable Calculus. Continuous Functions. Sufficient Conditions For Continuity. Exercises. Limits Of A Function. Exercises. The Limit Of A Sequence. S...

Nair S. Advanced Topics in Applied Mathematics: For Engineering and the Physical Sciences

формат pdf
размер 1.13 МБ
добавлен 13 августа 2011 г.

Cambridge University Press , 2011. - 232 pages. This book is ideal for engineering, physical science, and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, Integral equations, Fourier transforms, and Laplace transforms. Also included is a useful discussion of topics such as the Wiener-Hopf me...

Nikiforov A.F., Uvarov V.B. Special functions of mathematical physics: A unified introduction with applications

формат djvu
размер 2.38 МБ
добавлен 22 августа 2011 г.

Publisher: Birkh?usеr, Bоston, 1988, 427 pages Authors of this book have collected the material on special functions that is most important in mathematical physics and quantum mechanics. They have not attempted to provide the most extensive collection possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other...

Pinsky M.A. Partial Differential Equations and Boundary-value Problems With Applications

формат djvu
размер 4.39 МБ
добавлен 28 января 2012 г.

American Mathematical Society, 2011. - 526 pages. Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems-rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the...