𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


Scattering Frequencies for a Perturbed S
✍ M.A Astaburuaga; R.Coimbra Charao; C Fernández; G.Perla Menzala 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 244 KB

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

Perturbation Inequalities and Confidence
✍ Lutz Dümbgen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 426 KB

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