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Unicity of the Integrated Density of States for Relativistic Schrödinger Operators with Regular Magnetic Fields and Singular Electric Potentials

✍ Scribed by Viorel Iftimie; Marius Măntoiu; Radu Purice

Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
419 KB
Volume
67
Category
Article
ISSN
0378-620X

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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