𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential

✍ Scribed by G. D. Raikov

Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
818 KB
Volume
110
Category
Article
ISSN
0020-9910

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

Spectral Asymptotics for Schrödinger Ope
Spectral Asymptotics for Schrödinger Operators with Periodic Point Interactions
✍ P. Kurasov; J. Larson 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 150 KB

Spectrum of the second-order differential operator with periodic point interactions in L 2 R is investigated. Classes of unitary equivalent operators of this type are described. Spectral asymptotics for the whole family of periodic operators are calculated. It is proven that the first several terms

Semiclassical Asymptotics of Eigenvalues
Semiclassical Asymptotics of Eigenvalues for Schrödinger Operators with Magnetic Fields
✍ H. Matsumoto 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 663 KB

We consider Schrödinger operators with magnetic fields on a two-dimensional compact manifold or on \(\mathbf{R}^{2}\). The purpose is to study the semiclassical asymptotics of the eigenvalues by two different methods. We obtain some facts on the harmonic oscillators under uniform magnetic fields and