000 02625nam a22003738i 4500
001 CR9780511535079
003 UkCbUP
005 20200124160321.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090429s2002||||enk o ||1 0|eng|d
020 _a9780511535079 (ebook)
020 _z9780521443906 (hardback)
020 _z9780521448628 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.17.G68
_bF75 2002
082 0 0 _a530.15/535
_221
100 1 _aFried, H. M.
_q(Herbert Martin),
_eauthor.
245 1 0 _aGreen's functions and ordered exponentials /
_cH.M. Fried.
246 3 _aGreen's Functions & Ordered Exponentials
264 1 _aCambridge :
_bCambridge University Press,
_c2002.
300 _a1 online resource (xi, 169 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tIntroduction --
_g2.
_tElementary functional methods --
_g3.
_tSchwinger-Fradkin methods --
_g4.
_tLasers and crossed lasers --
_g5.
_tSpecial variants of the Fradkin representation --
_g6.
_tQuantum chaos and vectorial interactions --
_g7.
_tInfrared approximations --
_g8.
_tModels of high-energy, non-Abelian scattering --
_g9.
_tUnitary ordered exponentials.
520 _aThis 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.
650 0 _aGreen's functions.
650 0 _aExponential functions.
650 0 _aMathematical physics.
776 0 8 _iPrint version:
_z9780521443906
856 4 0 _uhttps://doi.org/10.1017/CBO9780511535079
999 _c521944
_d521942