47 citations · 331 across the 23 of their papers we have counts for
23 papers
H2 molecule in strong magnetic fields
Mathieu Beau, Rafael Benguria, Raymond Brummelhuis +1
The Pauli-Hamiltonian of a molecule with fixed nuclei in a strong constant magnetic field is asymptotic, in norm-resolvent sense, to an effective Hamiltonian which has the form of…
Adiabatic non-equilibrium steady states in the partition free approach
Horia D. Cornean, Pierre Duclos, Radu Purice
Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibr…
On the two-dimensional Coulomb-like potential with a central point interaction
P. Duclos, P. Stovicek, M. Tusek
In the first part of the paper, we introduce the Hamiltonian , Z>0, as a selfadjoint operator in . A general central point interaction combined with…
On the spectrum of a bent chain graph
Pierre Duclos, Pavel Exner, Ondrej Turek
We study Schrödinger operators on an infinite quantum graph of a chain form which consists of identical rings connected at the touching points by -couplings with a parameter $α\…
On the skeleton method and an application to a quantum scissor
Horia D. Cornean, Pierre Duclos, Benjamin Ricaud
In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis o…
On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum
Pierre Duclos, Ondra Lev, Pavel Stovicek
We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum of H is semibounded and discrete, and the eigenvalues behave as E_n~n^α, with 0<α<1. In particular, the…