Non-analyticity of the ground state energy of the hydrogen atom in non-relativistic QED

作者:Barbaroux J M*; Vugalter S A
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(47): 474004.
DOI:10.1088/1751-8113/43/47/474004

摘要

We derive the ground state energy up to the fourth order in the fine-structure constant alpha for the translation-invariant Pauli-Fierz Hamiltonian for a spinless electron coupled to the quantized radiation field. As a consequence, we obtain the non-analyticity of the ground state energy of the Pauli-Fierz operator for a single particle in the Coulomb field of a nucleus.

  • 出版日期2010-11-26