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Variational bounds on transition probabilities
Author(s) -
Barnsley Michael F.,
Robinson Peter D.
Publication year - 1975
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.560090310
Subject(s) - krypton , helium , yield (engineering) , mathematics , statistical physics , upper and lower bounds , physics , quantum mechanics , atomic physics , thermodynamics , mathematical analysis , xenon
Complementary variational functionals are derived which impose upper and lower bounds on transition probabilities. These functionals are used to yield bounds in terms of sets of sum rules, and illustrative calculations are presented for hydrogen, helium and krypton atoms.