Green's functions and ordered exponentials /
Material type: TextPublication details: Cambridge, UK ; New York : Cambridge University Press, 2002Description: xi, 169 p. : illISBN: 0521443903 (hardback)Subject(s): Green's functions | Exponential functions | Mathematical physicsDDC classification: 530.15 535 Online resources: Not Available | Not Available Summary: DescriptionContentsResourcesCoursesAbout the Authors 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.Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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BK | Stack | Stack | 530.15 535 FRI/G (Browse shelf (Opens below)) | Available | 59422 |
Browsing Kannur University Central Library shelves, Shelving location: Stack, Collection: Stack Close shelf browser (Hides shelf browser)
530.143 5 HUA/F Fundamental forces of nature : | 530.143 SCH/Q Quantum field theory and the standard model / | 530.143 SHI/A Advanced topics in quantum field theory | 530.15 535 FRI/G Green's functions and ordered exponentials / | 530.15 ARF/M Mathematical methods for physicists | 530.15 ARF/M Mathematical methods for physicists | 530.15 ARF/M Mathematical methods for physicists |
DescriptionContentsResourcesCoursesAbout the Authors
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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