|
Showing 1 - 2 of
2 matches in All Departments
The purpose of this monograph is to offer an accessible and
essentially self-contained presentation of some mathematical
aspects of the Feynman path integral in non-relativistic quantum
mechanics. In spite of the primary role in the advancement of
modern theoretical physics and the wide range of applications, path
integrals are still a source of challenging problem for
mathematicians. From this viewpoint, path integrals can be roughly
described in terms of approximation formulas for an operator
(usually the propagator of a Schroedinger-type evolution equation)
involving a suitably designed sequence of operators. In keeping
with the spirit of harmonic analysis, the guiding theme of the book
is to illustrate how the powerful techniques of time-frequency
analysis - based on the decomposition of functions and operators in
terms of the so-called Gabor wave packets - can be successfully
applied to mathematical path integrals, leading to remarkable
results and paving the way to a fruitful interaction. This
monograph intends to build a bridge between the communities of
people working in time-frequency analysis and
mathematical/theoretical physics, and to provide an exposition of
the present novel approach along with its basic toolkit. Having in
mind a researcher or a Ph.D. student as reader, we collected in
Part I the necessary background, in the most suitable form for our
purposes, following a smooth pedagogical pattern. Then Part II
covers the analysis of path integrals, reflecting the topics
addressed in the research activity of the authors in the last
years.
|
You may like...
Merry Christmas
Mariah Carey, Walter Afanasieff, …
CD
R118
R58
Discovery Miles 580
Gloria
Sam Smith
CD
R383
Discovery Miles 3 830
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.