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Remark on lower bounds to eigenvalues
Author(s) -
Weinhold F.
Publication year - 1969
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.560030310
Subject(s) - eigenvalues and eigenvectors , upper and lower bounds , mathematics , bound state , wave function , mathematical physics , combinatorics , physics , pure mathematics , mathematical analysis , quantum mechanics
It is shown that the familiar Temple, Stevenson‐Crawford, and Weinstein lower bound formulas for eigenvalues are consequences of a much stronger general lower bound formula and the weak “Eckart criterion” for the overlap of the approximate and true wave functions.