Temporal Dynamics in Perturbation Theory

Details Temporal Dynamics in Perturbation Theory Temporal Dynamics in Perturbation Theory

1997-12-03

arxiv.org/abs/cond-mat/9712039v1

Physica A 225 (1996) 336-362

Physics

Condensed Matter

Statistical Mechanics

1 file, 21 pages, RevTex, 2 tables

Scientific paper

Perturbation theory can be reformulated as dynamical theory. Then a sequence of perturbative approximations is bijective to a trajectory of dynamical system with discrete time, called the approximation cascade. Here we concentrate our attention on the stability conditions permitting to control the convergence of approximation sequences. We show that several types of mapping multipliers and Lyapunov exponents can be introduced and, respectively, several types of conditions controlling local stability can be formulated. The ideas are illustrated by calculating the energy levels of an anharmonic oscillator.

Affiliated with

Also associated with

No associations

Rating

Temporal Dynamics in Perturbation Theory 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 Temporal Dynamics in Perturbation Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Temporal Dynamics in Perturbation Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-99510