Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"Schrödinger Operator"”.
-
Spectral gaps for many-particle systems, semiclassical analysis of graphene, and quantum dynamics
… well as computational problems for (non)-linear Schrödinger equations: The first two results, presented in the first chapter, are concerned with spectral gaps of classical many-particle systems, the mean-field O(n) model and the chain of oscillators. We study the optimal constant in the Poincar´e …
-
Spectra of Periodic Schrödinger Operators on the Octagonal Lattice
We consider the spectrum of the Schrödinger operator on an octagonal lattice using the Floquet-Bloch transform of the Laplacian. We will first consider the spectrum of the Laplacian in detail and prove various properties thereof, including spectral-band limits and locations of singularities. In …
-
Subordinacy and spectral analysis of Schrödinger operators
… is concerned with the spectral analysis of Schrödinger operators with central potentials, and some related aspects of scattering theory. After an introductory discussion on the aims of the thesis and its relation to existing work, the background mathematical material required for subsequent …
-
Heat trace and heat content asymptotics for Schrodinger Operators of stable processes/fractional Laplacians
… = (-Δ)(α/2) + <em>V</em>. The former operator is known as the fractional Laplacian whereas the latter one is known as the fractional Schrödinger Operator. ^ The study of the small time behaviour of the above quantities is motivated by the asymptotic expansion as <em>t</em> ↓ 0 of the …
-
Quantum evolution: The case of weak localization for a 3D alloy-type Anderson model and application to Hamiltonian based quantum computation
Over the years, people have found Quantum Mechanics to be extremely useful in explaining various physical phenomena from a microscopic point of view. Anderson localization, named after physicist P. W. Anderson, states that disorder in a crystal can cause non-spreading of wave packets, which is one …