Accession Number : AD0464260


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


Descriptive Note : Technical rept.


Corporate Author : HARVARD UNIV CAMBRIDGE MA


Personal Author(s) : Miller, William H


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/464260.pdf


Report Date : 14 May 1965


Pagination or Media Count : 14


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.


Descriptors :   *ATOMIC STRUCTURE , *HYDROGEN , QUANTUM THEORY , NUMERICAL ANALYSIS , MOLECULAR STRUCTURE , GROUND STATE , VARIATIONAL METHODS , EXCITATION , IONS , CONTINUUM MECHANICS


Subject Categories : Atomic and Molecular Physics and Spectroscopy


Distribution Statement : APPROVED FOR PUBLIC RELEASE