We present various results on the existence and location of resonances for a perturbed system of elastic wave equations, for perturbations which are independent of time and also for those that are periodic functions of time. We also establish the continuous dependence of the resonances on parameters
Perturbed ellipsoidal wave functions for quantum scattering
✍ Scribed by T. Levitina; E. J. Brändas
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 346 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
The scattering data of a potential, separable in ellipsoidal coordinates, are expanded in perturbed Lame wave functions. These functions arise when variables in the Schrodinger equation are separated in the ellipsoidal coordinate system. Preliminary calculations are displayed for the total cross section and the scattering amplitude versus direction. The quicker the potential vanishes at infinity the more pronounced is the dependence on the incident direction.
📜 SIMILAR VOLUMES
Let 7 be an unknown covariance matrix. Perturbation (in)equalities are derived for various scale-invariant functionals of 7 such as correlations (including partial, multiple and canonical correlations) or angles between eigenspaces. These results show that a particular confidence set for 7 is canoni