Fermi's golden rule and exponential decay as a RG fixed point

Details Fermi's golden rule and exponential decay as a RG fixed point Fermi's golden rule and exponential decay as a RG fixed point

2008-05-05

arxiv.org/abs/0805.0502v1

J. Stat. Phys. (2009) 134: 749-768

Physics

Mathematical Physics

20 pages, 1 figure

Scientific paper

10.1007/s10955-009-9700-x

We discuss the decay of unstable states into a quasicontinuum using models of the effective Hamiltonian type. The goal is to show that exponential decay and the golden rule are exact in a suitable scaling limit, and that there is an associated renormalization group (RG) with these properties as a fixed point. The method is inspired by a limit theorem for infinitely divisible distributions in probability theory, where there is a RG with a Cauchy distribution, i.e. a Lorentz line shape, as a fixed point. Our method of solving for the spectrum is well known; it does not involve a perturbation expansion in the interaction, and needs no assumption of a weak interaction. We use random matrices for the interaction, and show that the ensemble fluctuations vanish in the scaling limit. Thus the limit is the same for every model in the ensemble with probability one.

Affiliated with

Also associated with

No associations

Rating

Fermi's golden rule and exponential decay as a RG fixed point 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 Fermi's golden rule and exponential decay as a RG fixed point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fermi's golden rule and exponential decay as a RG fixed point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-208736