Published 1982
| Version v1
Miscellaneous
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Evaluation of upper and lower bounds to energy eigenvalues in Shoenberg's perturbation-theory ground state by means of partitioning technique
Description
Upper and lower bounds for the energy eigenvalues is Schoenberg's perturbation-theory ground state are studied. After a review of the characteristic features of the partitioning techniques the perturbative expansion proposed by Schoenberg is generated from an exact operator equation. The upper and lower bounds for the ground state eigenvalue are derived by using reaction and wave operators concepts, the bracketing function and operator inequalities. (Author)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Estudam-se limites superior e inferior para os autovalores de energia na teoria de perturbacao de estado fundamental de Schoenberg. Apos uma revisao dos aspectos caracteristicos das tecnicas de particao a expansao perturbativa prosposta por Schoenberg e gerada a partir de uma equacao de operador exata. Derivam-se os limites superior e inferior para o autovalor do estado fundamental usando-se os conceitos de operadores de reacao e de onda, a funcao 'bracketing' e inequalidades de operadores. (L.C.)Files
13700728.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 24 p.
- Report number
- INIS-mf--7390
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 13700728
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; EIGENVALUES; ENERGY LEVELS; GROUND STATES; PARTITION FUNCTIONS; PERTURBATION THEORY; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS