Propagation of singularities for the Schrodinger equation [ 2002-01-01 - 2004-12-31 ]

Research Grant

Researchers: Dr Andrew Hassell (Chief Investigator) ,  Prof Jared Wunsch (Partner Investigator) ,  The Australian National University (Managed by)

Brief description Propagation of singularities for the Schrodinger equation. The time-dependent Schrodinger equation governs the evolution of quantum particles. In this project we aim to use new techniques from mathematical scattering theory to analyse solutions of the Schrodinger equation and obtain sharp bounds on their singularities. Controlling such singularities will allow us to deduce quantitative bounds on the number of eigenvalues in certain situations, and provide new techniques for studying nonlinear Schrodinger equations.

Funding Amount $11,400

Funding Scheme Linkage - International

View this grant in the ARC Data Portal