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Green's functions and ordered exponentials / H. M. Fried

Tác giả : H. M. Fried

Nhà xuất bản : Cambridge University Press

Năm xuất bản : 2002

Nơi xuất bản : Cambridge, U.K.

Mô tả vật lý : xi, 169 p. : ill. ; 24 cm

ISBN : 0521443903

Số phân loại : 530.15535

Chủ đề : 1. Exponential functions. 2. Green's functions. 3. Mathematical physics. 4. Hàm số mũ. 5. Toán học vật lý.

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Tóm tắt :

This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, 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 such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.

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