PROOF BY LOWER BOUND METHODS THAT NO SINGLY-EXCITED BOUND STATES EXIST IN H(-)

Abstract

Variational calculations for the lowest 1S state in the hydrogen negative ion showed quite early that this state is bound. However, similar calculations for the lowest 3S state, the first excited 1S state, and the lowest ungerade 3P state have never produced an upper bound below the onset of the one- electron continuum. It has therefore been assumed that there are no singlyexcited bound states in H(-). If calculated lower bounds for these states could be obtained and were found to lie above the onset of the continuum (-0.50 a.u. for these states), this would conclusively prove that these states cannot be bound.

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Document Details

Document Type
Technical Report
Publication Date
May 14, 1965
Accession Number
AD0464260

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  • William H. Miller

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