Jul 5 – 10, 2021
Europe/Rome timezone

Essential Self-Adjointness of Dirac operators under the influence of general-relativistic gravity

Jul 5, 2021, 6:10 PM
20m
Invited talk in the parallel session Mathematical Problems of Relativistic Physics: Classical and Quantum Mathematical Problems of Relativistic Physics: Classical and Quantum

Speaker

Dr Ebru Toprak (Rutgers University)

Description

Physical reasoning give expressions for the Hamiltonian of a system. These Hamiltonians are differential operators that are mostly symmetric in a densely defined domain.
However, to study the dynamics of the unitary group corresponding to a Hamiltonian, it is
required that the Hamiltonian be self-adjoint or essentially self-adjoint. I will present our study
on how the static non-linear electromagnetic-vacuum space-time of a point nucleus affects the
self-adjointness of the general- relativistic Dirac Hamiltonian for a test electron.

Primary author

Dr Ebru Toprak (Rutgers University)

Co-authors

Michael Kiessling (Rutgers University, Dept. of Mathematics) A. Shadi Tahvildar-Zadeh (Rutgers University)

Presentation materials

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Proceedings

Paper