Accession Number:

AD0625364

Title:

STUDIES IN PERTURBATION THEORY. XI. LOWER BOUNDS TO ENERGY EIGENVALUES, GROUND STATE AND EXCITED STATES,

Descriptive Note:

Corporate Author:

UPPSALA UNIV (SWEDEN) QUANTUM CHEMISTRY GROUP

Personal Author(s):

• Lowdin,Per-Olav

Report Date:

1965-06-15

Pagination or Media Count:

47.0

Abstract:

The bracketing theorem in the partitioning technique for solving the Schrodinger equation may be used in principle to determine upper and lower bounds to energy eigenvalues. Practical lower bounds of any accuracy desired may be evaluated by utilizing the properties of inner projections on finite manifolds in the Hilbert space. The method is applied to the ground state and excited states of a Hamiltonian having a positive definite perturbation V. Even if inspiration is derived from the method of intermediate Hamiltonians, the final results are of bracketing type and independent of this approach. The method is numerically illustrated in some accompanying papers. Author

Descriptors:

• *GROUND STATE
• ENERGY
• BOUNDARIES
• WAVE FUNCTIONS

Subject Categories:

• Atomic and Molecular Physics and Spectroscopy
• Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE