We study the existence and location of resonances a 2×2 semiclassical system coupled Schrödinger operators, in case where two electronic levels cross at some point, one them is bonding, while other anti-bonding. Considering energy just above that crossing, we find asymptotics both real parts imaginary close to such energies. This continuation our previous works considered around crossing.

We present a review of rigorous mathematical results about non– adiabatic transitions in molecular systems that are associated with avoided crossings of electron energy level surfaces. We then present a novel numerical technique for studying these transitions that is based on expansions in semiclassical wavepackets.

We investigate the transition of a quantum wave-packet through a onedimensional avoided crossing of molecular energy levels when the energy levels at the crossing point are tilted. Using superadiabatic representations, and an approximation of the dynamics near the crossing region, we obtain an explicit formula for the transition wavefunction. Our results agree extremely well with high precision...

the aim of this work is to understand the relation between time and place that an earthquake takes place. in order to answer this question, the modified level crossing (mlc) technique has been implemented. by studying two earthquakes, one in iran and one in california we came to the conclusion that there is a relation between time and place of an earthquake occurrence. as a matter of fact, this...