47 citations · 175 across the 27 of their papers we have counts for
19 papers · 1 filter
Griffiths inequalities for non-interacting rotors
Ira Herbst
We prove Griffiths inequalities for spins in n>1 dimensions with no interaction.
Resonances in the one dimensional Stark effect in the limit of small field
Richard Froese, Ira Herbst
We discuss the resonances of Hamiltonians with constant electric field in one dimension in the limit of small field. These resonances occur near the real axis, near zeros of the an…
The Howland - Kato Commutator Problem
Ira Herbst, Thomas L. Kriete
We investigate the following problem: For what and is the commutator positive when and are bounded measurable functions? This problem originated in w…
Resonances - lost and found
Richard Froese, Ira Herbst
We consider the large limit of one dimensional Schrödinger operators in two cases: when and when $V_{2,L}(x)=e^{-cL}…
Can we trust the relationship between resonance poles and lifetimes?
Ira Herbst, Rajinder Mavi
We show that the shape resonances induced by a one dimensional well of delta functions disappear as soon as a small constant electric field is applied. In particular, in any compac…
On the construction of composite Wannier functions
Horia D. Cornean, Ira Herbst, Gheorghe Nenciu
We give a constructive proof for the existence of an -dimensional Bloch basis which is both smooth (real analytic) and periodic with respect to its -dimensional quasi-momenta…