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DILATION ANALYTICITY IN CONSTANT ELECTRIC FIELD. II. N BODY PROBLEM, BOREL SUMMABILITY

Authors
  • Herbst, I.W.
  • Simon, B.
Publication Date
Jan 01, 1981
Identifiers
DOI: 10.1007/BF01213010
OAI: oai:inspirehep.net:170773
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

Abstract

We extend the analysis of Paper I from two body dilation analytic systems in constant electric field toN-body systems in constant electric field. Particular attention is paid to what happens to isolated eigenvalues of an atomic or molecular system in zero field when the field is turned on. We prove that the corresponding eigenvalue of the complex scaled Hamiltonian is stable and becomes a resonance. We study analyticity properties of the levels as a function of the field and also Borel summability.

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