𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Martin compactification and asymptotics of Green functions for Schrödinger operators with anisotropic potentials

✍ Scribed by Minoru Murata

Publisher
Springer
Year
1990
Tongue
English
Weight
796 KB
Volume
288
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Scattering for SCHRÖDINGER Operators
On Scattering for SCHRÖDINGER Operators with Anisotropic and Singular Potentials
✍ Michael Demuth 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 554 KB

The existence of wave operators is considered for SCHRODINQER operators with anisotropic potentials. The potentials may have positive barriers which are allowed to increase up t o infinity over unbounded regions in Rn. The convergence of the corresponding wave and scattering operators is shown. I n

WKB Asymptotic Behavior of Almost All Ge
WKB Asymptotic Behavior of Almost All Generalized Eigenfunctions for One-Dimensional Schrödinger Operators with Slowly Decaying Potentials
✍ Michael Christ; Alexander Kiselev 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 192 KB

We prove the WKB asymptotic behavior of solutions of the differential equation &d 2 uÂdx 2 +V(x) u=Eu for a.e. E>A where V=V 1 +V 2 , V 1 # L p (R), and V 2 is bounded from above with A=lim sup x Ä V(x), while V$ 2 (x) # L p (R), 1 p<2. These results imply that Schro dinger operators with such poten

Estimates for Periodic and Dirichlet Eig
Estimates for Periodic and Dirichlet Eigenvalues of the Schrödinger Operator with Singular Potentials
✍ T. Kappeler; C. Möhr 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 210 KB

In this paper, the periodic and the Dirichlet problems for the Schrödinger operator -(d 2 /dx 2 )+V are studied for singular, complex-valued potentials V in the Sobolev space H -a per [0, 1] (0 [ a < 1). The following results are shown: (1) The periodic spectrum consists of a sequence (l k ) k \ 0