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Lower and upper bounds for the number of critical points on energy hypersurfaces

✍ Scribed by Paul G. Mezey


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
403 KB
Volume
82
Category
Article
ISSN
0009-2614

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Upper and lower bounds to critical value
✍ R. Behling; A. Bongers; T. KΓΌpper πŸ“‚ Article πŸ“… 1976 πŸ› John Wiley and Sons 🌐 English βš– 393 KB

## Abstract Upper and lower bounds for the minimal critical energy __E__ of the Hartree operator for helium are calculated. We show that a Ritz analogous procedure for the calculation of the upper bounds converges to the exact value. The lower bound to __E__ yields that the ground state __E__~H~ of