Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation

Details Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation

2008-01-29

arxiv.org/abs/0801.4458v1

Physics

Mathematical Physics

47 pages

Scientific paper

For a large class of quantum mechanical models of matter and radiation we develop an analytic perturbation theory for non-degenerate ground states. This theory is applicable, for example, to models of matter with static nuclei and non-relativistic electrons that are coupled to the UV-cutoff quantized radiation field in the dipole approximation. If the lowest point of the energy spectrum is a non-degenerate eigenvalue of the Hamiltonian, we show that this eigenvalue is an analytic function of the nuclear coordinates and of $\alpha^{3/2}$, $\alpha$ being the fine structure constant. A suitably chosen ground state vector depends analytically on $\alpha^{3/2}$ and it is twice continuously differentiable with respect to the nuclear coordinates.

Affiliated with

Also associated with

No associations

Rating

Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation 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 Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185473