𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lower Bounds for the Spectra of Schrödinger Operators with Magnetic Fields

✍ Scribed by N. Ueki

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
868 KB
Volume
120
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

An explicit representation of lower bounds for the spectra of Schrödinger operators with magnetic fields on (\sigma)-compact Riemannian manifolds is given, using the positivity of the Pauli Hamiltonian. This representation is applied to show some asymptotic properties of a stochastic oscillatory integral and the transverse analyticity of the law of a stochastic line integral. 1994 Academic Press, lnc.

📜 SIMILAR VOLUMES

Scattering for Schrödinger Operators wit
Scattering for Schrödinger Operators with Magnetic Fields
✍ Michael Demuth; El-Maati Ouhabaz 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 416 KB

## Abstract We study the existence and completeness of the wave operators __W~ω~(A(b),‐Δ__) for general Schrodinger operators of the form equation image is a magnetic potential.

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

Unitary reduction for the two-dimensiona
Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field
✍ Andrei Eckstein 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 281 KB

## Abstract The spectrum of the two‐dimensional Schrödinger operator with strong magnetic field and electric potential is contained in a union of intervals centered on the Landau levels. The study of the spectrum in any of these intervals is reduced by unitary equivalence to the study of a one‐dime

Graphs with Magnetic Schrödinger Operato
Graphs with Magnetic Schrödinger Operators of Low Corank
✍ Hein van der Holst 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 224 KB

introduced the graph parameter n(G), which is defined as the maximal corank of any positive semidefinite magnetic Schrödinger operator fulfilling a certain transversality condition. He showed that for connected simple graphs, n(G) [ 1 if and only if G is a tree. In this paper we characterize for k=2