Mathematical Institute of the University of Bonn

RG Analysis and Partial Differential Equations

S4B1 - Graduate Seminar on Analysis (Winter term 2016/2017)

Lecturer:

Prof. Dr. Herbert Koch

Time and Place:

Friday, 10(c.t.)-12, SR 1.007 (Endenicher Allee 60)

Topic: Scattering and isospectral operators

In this seminar we will study the relation between mainly one dimensional Schrödinger operators, their spectrum, and isospectral deformations of the potential. The second part is devoted to one dimensional scattering theory. The seminar is based on Pöschel and Trubowitz [3], possibly Flügge [2] and Dyatlov and Zworski [1].

Literature:

• Dyatlov and Zworski: Mathematical theorem of scattering resonances. [1]
• Flügge: Practical quantum mechanics.Reprinting in one volume of Vols. I, II. Springer-Verlag. New York 1974.[2]
• Pöschel and Trubowitz: Inverse spectral theory. Pure and Applied Mathematics 130, Academic Press Inc. Boston, MA 1987.[3]