IN-PERSON MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
Shadi Tahvildar-Zadeh - Rutgers University
Date/Time/Location
Thursday, April 11th, 12:10pm; Hill Center 705
Spectral lines of general-relativistic hydrogenic ions
After reviewing basics of the spectral theory for non-relativistic quantum-mechanical hamiltonians of hydrogenic ions, I discuss what impact the incorporation of additional effects such as special relativity, anomalous magnetic moment for the electron, and relativistic gravity have on self-adjointness of the hamiltonian and its spectrum. I will show how it is possible to fully characterize the discrete energy spectrum and corresponding eigenfunctions for this hamiltonian in terms of the winding numbers of heteroclinic saddle-saddle connectors for a certain dynamical system on a finite cylinder. This is joint work with E. Kapengut, M. Kiessling, and E. Ling.