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.
Asymptotic analysis of semi-classical resonance wave functions
โ Scribed by R. Lefebvre
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 260 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0167-7322
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๐ 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.
dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn
Two simple pairs of asymptotic expansions in terms of Hermite functions are obtained for the'solutions of the ellipsoidal wave equation.