Sökning: "Schrödinger operator"
Visar resultat 1 - 5 av 23 avhandlingar innehållade orden Schrödinger operator.
1. Schrödinger Operators in Waveguides
Sammanfattning : In this thesis, which consists of four papers, we study the discrete spectrum of Schrödinger operators in waveguides. In these domains the quadratic form of the Dirichlet Laplacian operator does not satisfy any Hardy inequality. LÄS MER
2. Semi-classical approximations of Quantum Mechanical problems
Sammanfattning : .... LÄS MER
3. Spectral estimates for the magnetic Schrödinger operator and the Heisenberg Laplacian
Sammanfattning : I denna avhandling, som omfattar fyra forskningsartiklar, betraktas två operatorer inom den matematiska fysiken. De båda tidigare artiklarna innehåller resultat för Schrödingeroperatorn med Aharonov-Bohm-magnetfält. LÄS MER
4. Inverse scattering and distribution of resonances on the real line
Sammanfattning : We study aspects of scattering theory for the Schrödinger operator on the real line. In the first part of the thesis we consider potentials supported by a half-line, and we are interested in the inverse problem of reconstruction of the potential from the knowledge of values of the reflection coefficient at equidistributed points on the positive imaginary axis. LÄS MER
5. The Back-scattering Problem in Three Dimensions
Sammanfattning : In this thesis we study the (inverse) back-scattering problem for the Schr"odinger operator in $R^3$. We introduce the back-scattering transform $B(v)$ of a real-valued potential $vin C_0^infty(R^3)$, and prove that the back-scattering data associated to $v$ determine $B(v)$. LÄS MER