Regularity and asymptotic properties of the discrete spectrum of electronic hamiltonians | Zendy

Combes J. M. | Zendy; Seiler R. | Zendy

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Regularity and asymptotic properties of the discrete spectrum of electronic hamiltonians

Author(s) -

Combes J. M.,

Seiler R.

Publication year - 1978

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/qua.560140209

Subject(s) - eigenvalues and eigenvectors , diatomic molecule , differentiable function , spectrum (functional analysis) , discrete spectrum , projection (relational algebra) , function (biology) , order (exchange) , electronic structure , physics , quantum mechanics , mathematics , mathematical analysis , molecule , algorithm , finance , evolutionary biology , economics , biology

We analyze the electronic part of diatomic molecular Hamiltonians as a function of the internuclear distance, x . We prove analyticity outside x ≠ 0 of eigenvalues in the discrete spectrum and differentiability up to second order for the associated projection operators. Furthermore, it is shown that for large internuclear distances they converge to eigenvalues and eignprojectors of the separated atoms.

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