ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY

Details ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY

1995-04-17

arxiv.org/abs/quant-ph/9504014v1

Phys.Lett. B356 (1995) 56-60

Physics

Quantum Physics

9 pages, LaTeX, 1 figure can be obtained from the author

Scientific paper

10.1016/0370-2693(95)00814-2

The problem of finding the large order asymptotics for the eigenfunction perturbation theory in quantum mechanics is studied. The relation between the wave function argument x and the number of perturbation theory order k that allows us to construct the asymptotics by saddle-point technique is found: $x/k^{1/2}=const$, k is large. Classical euclidean solutions starting from the classical vacuum play an important role in constructing such asymptotics. The correspondence between the trajectory end and the parameter $x/k^{1/2}$ is found. The obtained results can be applied to the calculation of the main values of the observables depending on k in the k-th order of perturbation theory at larges k and, probably, to the multiparticle production problem.

Affiliated with

Also associated with

No associations

Rating

ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION 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 ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184245