Barbaroux, Jean-Marie; Vugalter, Semjon A.

On the ground state energy of the translation invariant Pauli-Fierz model. II.

Doc. Math., J. DMV 17, 401-415 (2012)

Summary

Summary: 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.

Mathematics Subject Classification

81Q10, 35P15, 46N50, 47N50

Keywords/Phrases

translation invariant Pauli-Fierz Hamiltonian, spectral theory, ground state energy

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