ISSN:
0020-7608
Keywords:
Computational Chemistry and Molecular Modeling
;
Atomic, Molecular and Optical Physics
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
Notes:
For the multidimensional Schrödinger equation, we develop a technique based on the moment problem formulation of this equation. The method provides systematic and rapidly converging upper and lower bounds to the ground state energy, and it enjoys the following features: 1The bounds are insensitive to the strength of the perturbation; that is, the method applies even to the most singular perturbation.2The method does not require the potential to be semibounded. It applies directly to potentials whose spectrum extends from minus to plus infinity, as is the case for the Zeeman effect in hydrogenic atoms.3The presence of continuum spectrum does not affect the method: no information coming from the continuum is needed.
Additional Material:
1 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/qua.560300705
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