Sökning: "Bose-Einstein kondensat"
Visar resultat 1 - 5 av 6 uppsatser innehållade orden Bose-Einstein kondensat.
1. Computation of Stationary States for Rotating Bose-Einstein Condensates using Spectral Methods
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : The Bose-Einstein condensate is a phase of matter that arises when cooling gases of bosons to extremely low temperatures. When studying these condensates one may use the Gross-Pitaevskii equation, which is a non-linear variant of the Schrödinger equation. LÄS MER
2. A numerical investigation of Anderson localization in weakly interacting Bose gases
Master-uppsats, KTH/Numerisk analys, NASammanfattning : The ground state of a quantum system is the minimizer of the total energy of that system. The aim of this thesis is to present and numerically solve the Gross-Pitaevskii eigenvalue problem (GPE) as a physical model for the formation of ground states of dilute Bose gases at ultra-low temperatures in a disordered potential. LÄS MER
3. On two-component Bose-Einstein condensates in a ring
Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)Sammanfattning : A Bose-Einstein condensate is a type of gas consisting of one or more types of particles called bosons which are cooled to a temperature very close the absolute zero. Under these conditions the particles all start to occupy their lowest quantum state. LÄS MER
4. On the variational characterization of quasi-periodic standing waves of the nonlinear Schrödinger equation
Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)Sammanfattning : We consider quasi-periodic standing wave solutions U(t, x) = exp(i(ωt−px))Ψ(x) to the one-dimensional defocusing cubic nonlinear Schrödinger equation, where we assume that Ψ : R → C is 2π−periodic. We study a constrained minimization problem associated with these solutions, and we show that solutions with minimal period of Ψ(x) strictly less than 2π cannot be minimizers, whereas locally the minimum is obtained among those solutions with minimal period 2π. LÄS MER
5. Two variational problems related to the nonlinear Schrödinger equation
Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)Sammanfattning : The nonlinear Schrödinger equation is a partial differential equation which appears as a model in several branches of physics, including Bose-Einstein condensation and hydrodynamics. In this thesis, we investigate a particular class of solutions, namely periodic standing waves. LÄS MER