Existence and bounds for critical energies of the Hartree operator
Journal Article
·
· Chem. Phys. Lett., v. 24, no. 1, pp. 128-132
OSTI ID:4341996
A method is presented for proving the existence and calculating lower bounds for critical energies of the Hartree equation for the helium atom. The idca is to introduce an energy'' scalar product and use it to approximate the fourth order term in the potential by a smaller second order term. Rigorous lower bounds are then obtained from san associated linear operator containing a trial vector. By a suitable choice of the trial vector one can show that the minimal solution exists and is in fact a pointwise positive solution. (auth)
- Research Organization:
- Univ., Cologne
- NSA Number:
- NSA-29-022219
- OSTI ID:
- 4341996
- Journal Information:
- Chem. Phys. Lett., v. 24, no. 1, pp. 128-132, Journal Name: Chem. Phys. Lett., v. 24, no. 1, pp. 128-132; ISSN CHPLB
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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