Resz means of bounded states: semi-classical asymptotic
β Scribed by Vincent Bruneau
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 338 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0764-4442
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π SIMILAR VOLUMES
In this paper one obtains a result concerning the asymptotic behaviour of the spectral function on the diagonal for SCHRODINOER operators Ah = --A + V as h -+ 0. This asymptotic change the form on the energy level V ( x ) = A.
In this paper the results from [ 7, Y], concerning the asyinptotic beheviour of the spectral function 011 the ditigoiid for SCHRODISGER operators d,, = --d + V cts h -0, arc? ertenclcc~ t o the case of sonic h-admissible operators, uctiiig in R", .n m2.
Upper bounds are derived far Il~@l, p = I, 2, . . . . where 'p denotes an exact electronic bound state wavefunction of a molecular system in the Born-Oppenheimer approximation, and ri is the distance of the ith electron 3om an appropriately chosen point, e.g., the molecular center. It is further sho