University of Cambridge > > Isaac Newton Institute Seminar Series > Enhanced binding due to the quantized radiation field

Enhanced binding due to the quantized radiation field

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani.

Spectral Theory of Relativistic Operators

We consider the non- and semi-relativistic Pauli-Fierz models for a single electron in an electrostatic potential interacting with the quantized radiation field. We prove that the ability of the system to bind the electron is enhanced in both models in the sense that coupling constant thresholds for certain classes of weak potentials are strictly decreased by the radiation field. Furthermore, we show that binding energies are always increased by the radiation field. The new achievementis that the occurrence of these effects is established, for arbitrary large values of the fine-structure constant and the ultra-violet cutoff. As a byproduct we determine the leading asymptotics of the ground state energy of the free, translation invariant semi-relativistic Pauli-Fierz Hamiltonian,as the ultra-violet cutoff goes to infinity.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity