𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential

✍ Scribed by A. V. Demyanov; A. I. Nazarov


Publisher
Springer US
Year
2007
Tongue
English
Weight
199 KB
Volume
143
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Estimates for Periodic and Dirichlet Eig
✍ 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

A class of exactly solvable potentials I
✍ Joseph N Ginocchio 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 616 KB

The three-dimensional Schriidinger equation with an effective mass is solved for a new class of angular momentum dependent potentials with varying depths and shapes. The energy eigenvalues and resonances are given in algebraic form as a function of the effective mass and depth and shape of the poten