 0820 M. Griesemer, D. Hasler
 Analytic Perturbation Theory and Renormalization Analysis of Matter
Coupled to Quantized Radiation
(496K, pdf)
Jan 29, 08

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Abstract. For a large class of quantum mechanical models of matter and
radiation we develop an analytic perturbation theory for
nondegenerate ground states. This theory is applicable, for
example, to models of matter with static nuclei and nonrelativistic
electrons that are coupled to the UVcutoff quantized radiation
field in the dipole approximation. If the lowest point of the
energy spectrum is a nondegenerate 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.
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