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Determination of the potential from experimental data on energies and widths of quasi‐stationary levels
Author(s) -
Fröman Nanny,
Fröman Per Olof
Publication year - 1989
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.560350611
Subject(s) - rydberg formula , basis (linear algebra) , physics , atomic physics , stationary state , potential energy , quantum mechanics , mathematics , ion , geometry , ionization
Formulas for the energies and widths of shape resonances, i.e., quasi‐stationary levels for a quantal particle moving in a spherically symmetric potential, valid also close to the top of the potential barrier, have been published by Drukarev, Fröman, and Fröman. On the basis of these formulas, in the present paper the potential is explicitly expressed in terms of experimental data on the energies and widths of the quasi‐stationary states. The treatment is related to previous treatments by Wheeler and by Cole and Good, Jr., which are in turn related to the Rydberg‐Klein‐Rees method.