47 citations · 175 across the 27 of their papers we have counts for
4 papers · 2 filters
Absence of Quantum States Corresponding to Unstable Classical Channels
I. Herbst, E. Skibsted
We consider Hamiltonian systems of a certain class with unstable orbits moving to infinity. We prove a theorem showing that analogous quantum states do not exist. This theorem is a…
On the Lifetime of Quasi-Stationary States in Non-Relativistic QED
David Hasler, Ira Herbst, Matthias Huber
We consider resonances in the Pauli-Fierz model of non-relativistic QED. We use and slightly modify the analysis developed by Bach, Froehlich, and Sigal to obtain an upper and lowe…
Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero
Horia Cornean, Ira Herbst, Erik Skibsted
We consider a charged particle moving in the plane subject to electromagnetic potentials with non-vanishing radial limits. We analyse the classical and the quantum dynamics for lar…
Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED
David Hasler, Ira Herbst
We consider a class of translation invariant models of non-relativistic QED with net charge. Under certain natural assumptions we prove that ground states do not exist in the Fock…