An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and cut-off Resummation

Details An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and cut-off Resummation An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and cut-off Resummation

1993-09-09

arxiv.org/abs/hep-th/9309054v1

Annals Phys. 239 (1995) 22-39

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, tex file, report RU93-3-B

Scientific paper

An alternative perturbative expansion in quantum mechanics which allows a full expression of the scaling arbitrariness is introduced. This expansion is examined in the case of the anharmonic oscillator and is conveniently resummed using a method which consists in introducing an energy cut-off that is carefully removed as the order of the expansion is increased. We illustrate this technique numerically by computing the asymptotic behavior of the ground state energy of the anharmonic oscillator for large couplings, and show how the exploitation of the scaling arbitrariness substantially improves the convergence of this perturbative expansion.

Affiliated with

Also associated with

No associations

Rating

An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and cut-off Resummation 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 An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and cut-off Resummation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and cut-off Resummation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-431635