Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions

Details Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions

1995-07-11

arxiv.org/abs/quant-ph/9507005v1

Phys.Lett. A207 (1995) 133

Physics

Quantum Physics

PostScript, http://www.physik.fu-berlin.de/kleinert.html

Scientific paper

10.1016/0375-9601(95)00683-T

For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We present a simple interpolation algorithm which rapidly converges for an increasing number of known expansion coefficients. The accuracy is illustrated by calculating the ground state energies of the anharmonic oscillator using only the leading large-order coefficient $b_0$ (apart from the trivial expansion coefficent $a_0=1/2$). The errors are less than 0.5 for all g. The algorithm is applied to find energy and mass of the Fr\"ohlich-Feynman polaron. Our mass is quite different from Feynman's variational approach.

Affiliated with

Also associated with

No associations

Rating

Variational Interpolation Algorithm between Weak- and 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 Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-647369