The trace formulas for a half-line Schrodinger operator with long-range potentials

Author

• Sergei M. Belov

Date of Award

12-17-2002

Document Type

Thesis

Abstract

The present work deals with trace formulas for a half-line Schrödinger operator with long-range potentials. These formulas relate the potential with some scattering data. We generalize some relevant results by Buslaev; Faddeev; Gesztesy, Holden, Simon, and others to the case of square integrable potentials. The relation between the number of the trace formulas and the number of integrable derivatives of the potential is also given.

Recommended Citation

Belov, Sergei M., "The trace formulas for a half-line Schrodinger operator with long-range potentials" (2002). Theses (Unassigned). 25.
https://ualaska.researchcommons.org/uaf_unassigned_theses/25

Handle

http://hdl.handle.net/11122/6910