Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions

Details Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions

2010-06-15

arxiv.org/abs/1006.2910v1

EJTP 8, 15 (2011)

Physics

Mathematical Physics

32 pages

Scientific paper

With the help of a simple variational procedure it is possible to convert the partial sums of order $N$ of many divergent series expansions $f(g)=\sum_{n=0}^\infty a_n g^n$ into partial sums $\sum_{n=0}^N b_n g^{- \omega n}$, where $0<\omega<1$ is a parameter that parametrizes the approach to the large-$g$ limit. The latter are partial sums of a strong-coupling expansion of $f(g)$ which converge against $f(g)$ for $g$ {\em outside} a certain divergence radius. The error decreases exponentially fast for large $N$, like $e^{-{\rm const.}\times N^{1-\omega}}$. We present a review of the method and various applications.

Affiliated with

Also associated with

No associations

Rating

Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-104459