Document Type
Article
Department/Program
Mathematics
Journal Title
Annales Henri Poincare
Pub Date
2009
Volume
10
Issue
3
First Page
577
Abstract
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.
Recommended Citation
Griesemer, Marcel and Hasler, David G., Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation (2009). Annales Henri Poincare, 10(3), 577-621.
10.1007/s00023-009-0417-9
DOI
10.1007/s00023-009-0417-9
