arXiv subjects

Andre Martinez

Publications and source records attributed to Andre Martinez.

2 recordsLinked to original sources

arXiv2011

Optimal lower bound of the resonance widths for a Helmhotz tube-shaped resonator

The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple tube-shaped two dimensional resonator, we can perform a careful analysis of the transition zone where oscillations start to appear. In that way, we obtain an optimal lower bound of the width of the resonances.

math.SP↗

arXiv2010

The Stark effect on $H_2^+$-like molecules

We consider the vibrational energy levels of the first two electronic states of the molecule ion $H_2^+$. The Born-Oppenheimer method applied to the case of the Stark effect on a $H_2^+$-like molecule gives existence of sharp resonances localized in the same interval of energy of the vibrational levels.

math-ph↗