Widths of resonances above an energy-level crossing

2019/04/29 by Setsuro Fujiié, Fujiié, Setsuro, André Martínez +3
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1904.12511

Abstract

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

Citations

• A class of analytic perturbations for one-body Schrödinger Hamiltonians

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