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Mathematical Physics Seminar

In-Person Seminar: Shadi Tahvildar-Zadeh - Spectral lines of general-relativistic hydrogenic ions

Location:  Hill 705
Date & time: Thursday, 11 April 2024 at 12:10PM - 1:00PM


Shadi Tahvildar-Zadeh - Rutgers University


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.

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