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.
