The Schrödinger Equation with a Moving Point Interaction in Three Dimensions

2006/02/02 by Andrea Posilicano, Posilicano, Andrea · 2 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0602005

Revised version, to appear in Proc. Am. Math. Soc

arxiv created 2006/09/17 · arxiv updated 2009/12/01

Abstract

In the case of a single point interaction we improve, by different techniques, the existence theorem for the unitary evolution generated by a Schrödinger operator with moving point interactions obtained by Dell'Antonio, Figari and Teta.

Cited by

• A new approach to inverse Sturm-Liouville problems based on point interaction II. The singular case
• Small-data L² theory for the intermediate NLS and the Calogero--Moser derivative NLS

Related

• Schrodinger Equation with Moving Point Interactions in Three Dimensions
• Coupled nonlinear Schrödinger equations with point interaction: existence and asymptotic behaviour
• One Dimensional Schrodinger Equation With Two Moving Boundaries
• Ground states of the planar nonlinear Schrödinger--Newton system with a point interaction
• On global attraction to quantum stationary states. Dirac equation with mean field interaction