#### DOCUMENTA MATHEMATICA, Vol. 17 (2012), 401-415

Jean-Marie Barbaroux and Semjon A. Vugalter

On the Ground State Energy of the Translation Invariant Pauli-Fierz Model. II.

We determine the ground state energy of the translation invariant Pauli-Fierz model for an electron with spin, to subleading order $O(\alpha^2)$ with respect to powers of the finestructure constant $\alpha$ and prove rigorous error bounds of order $O(\alpha^3)$. A main objective of our argument is its brevity.

2010 Mathematics Subject Classification: 81Q10, 35P15, 46N50, 47N50

Keywords and Phrases: Translation invariant Pauli-Fierz Hamiltonian, spectral theory, ground state energy.

Full text: dvi.gz 26 k, dvi 80 k, ps.gz 237 k, pdf 153 k.