dc.contributor.author |
AHMED, RASHA AHMED HAMID |
|
dc.date.accessioned |
2014-03-17T10:52:59Z |
|
dc.date.available |
2014-03-17T10:52:59Z |
|
dc.date.issued |
2004-01-01 |
|
dc.identifier.citation |
AHMED,RASHA AHMED HAMID . THEORY OF ANALYTIC CONTINUATION AND APPLICATION TO DYNAMICAL SYSTEMS/RASHA AHMED HAMID AHMED;Bakri Marghani.-Khartoum:Sudan University of Science and Technology,College of Science,2004.-37p. : ill. ; 28cm.-Ms.c. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/123456789/3956 |
|
dc.description |
Thesis |
en_US |
dc.description.abstract |
The first part of the dissertation is a study of the theory of analytic continuation (A.C)of function of complex variable .Theorems and examples are given to investigate the topics of direct( A .C) , (A.C) along a curve, global analytic branch points, Riemann surfaces and their construction .
The second part is devoted to application of (A.C) in some problems of quantum mechanic . The generalized classical treatment of langevin equation for a linear oscillator embedded in a bath of harmonic oscillators is solved to measure rate of energy absorption from an external radiation source . Quantum treatment applies (A.C).on the displacement imaginary – time to obtain the real – time correlation.A brief description of the implementation of the maximum entropy inversion method is given . singular value decomposition method and numerical path integral Monte –carol simulation are used to get numerical solution of the same problems a bove.
Finally curves obtained by Fourier integrals (using A.C theory ) are compare with carves obtained numerically ( using statistical and simulation methods). |
en_US |
dc.description.sponsorship |
Sudan University of Science and Technology |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Sudan University of Science and Technology |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
Function |
en_US |
dc.title |
THEORY OF ANALYTIC CONTINUATION AND APPLICATION TO DYNAMICAL SYSTEMS |
en_US |
dc.type |
Thesis |
en_US |