32 citations · 35 across the 2 of their papers we have counts for
3 papers
math-ph2007★ 3 cited
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…
math-ph2007★ 32 cited
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…
math-ph1999
Realizing holonomic constraints in classical and quantum mechanics
Richard Froese, Ira Herbst
We consider the problem of constraining a particle to a submanifold Sigma of configuration space using a sequence of increasing potentials. We compare the classical and quantum ver…