Schrodinger Operators: Workshop Proceedings, 4-14 December, 1995[MatSciRep: 118]

Abstract

In its seven decades of existence, Quantum Mechanics still has many results which are believed not rigorously established, though routinely used in practice by Physicists. The question of unitarity of the S matrix is one such fundamental question, established rigorously only in the last decade, for N particle scattering interacting via a class of pair potentials. The question on transport (or the lack of it) of charge carriers in condensed matter systems, structure of potentials having a given energy spectrum, questions on existence and the number of resonance for a given potential are some other examples of questions in need of a rigorous mathematical framework, not to mention broader questions like existence of Crystals , rigorous foundations for QCD etc.,. This workshop on "Schrodinger Operators" was aimed to gather a few experts working on such rigorous questions relating to the Schrodinger equation/ Operator to introduce the subject to some of the students and teachers in India. This report will serve as not only a record of the activity that took place at IMSc, but also serve to enthuse future students to enter this difficult and challenging area of research.