Lower bounds to eigenvalues
Keyword(s):
The classical procedure of Weinstein has been employed to obtain rigorous upper and lower bounds to the eigenvalues E of a quantum mechanical Hamiltonian operator H. The new bounds represent an improvement over Weinstein's bounds for any reasonable choice of variational trial function. In the case of the lowest eigenvalue E0, for which the Rayleigh–Ritz procedure gives the optimum upper bound, the new lower bound is an improvement over the lower bound formula of Stevenson and Crawford.
1968 ◽
Vol 303
(1475)
◽
pp. 503-509
◽
Keyword(s):
2017 ◽
Vol 7
(2)
◽
pp. 169-181
Keyword(s):
2010 ◽
Vol 02
(03)
◽
pp. 363-377
◽
Keyword(s):
2011 ◽
Vol 12
(01n02)
◽
pp. 1-17
◽
Keyword(s):
Keyword(s):
1999 ◽
Vol 122
(1)
◽
pp. 39-43
◽
Keyword(s):
Keyword(s):
1972 ◽
Vol 328
(1573)
◽
pp. 295-299
◽
Keyword(s):