𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Absence of eigenvalues for the periodic Schrödinger operator with singular potential in a rectangular cylinder

✍ Scribed by I. V. Kachkovskiy

Book ID
120964204
Publisher
Springer US
Year
2013
Tongue
English
Weight
178 KB
Volume
47
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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