Sökning: "Schrödinger equations"
Visar resultat 1 - 5 av 40 avhandlingar innehållade orden Schrödinger equations.
1. Dynamical Properties of Quasi-periodic Schrödinger Equations
Sammanfattning : .... LÄS MER
2. Admissible transformations and the group classification of Schrödinger equations
Sammanfattning : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. LÄS MER
3. Energy-conservative finite element methods for nonlinear Schrödinger equations
Sammanfattning : This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equations have applications in a variety offields such as optics, fluid dynamics, solid-state physics and, of course,quantum mechanics. Notably, the cubic NLSE describes the dynamics of Bose-Einstein condensates. LÄS MER
4. Group classification of linear Schrödinger equations by the algebraic method
Sammanfattning : This thesis is devoted to the group classification of linear Schrödinger equations. The study of Lie symmetries of such equations was initiated more than 40 years ago using the classical Lie infinitesimal method for specific types of real-valued potentials. LÄS MER
5. Exponential integrators for stochastic partial differential equations
Sammanfattning : Stochastic partial differential equations (SPDEs) have during the past decades become an important tool for modeling systems which are influenced by randomness. Because of the complex nature of SPDEs, knowledge of efficient numerical methods with good convergence and geometric properties is of considerable importance. LÄS MER