Determination of the quantization function for deep potentials with attractive tails

• Antragsteller: Professor Dr. Harald Friedrich
• Fachliche Zuordnung: Optik, Quantenoptik und Physik der Atome, Moleküle und Plasmen
• Förderung: Förderung von 2009 bis 2013
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 125582806

Potentials decaying faster than −1/r2, as typically occur in atomic and molecular systems, support at most a finite number of bound states. Properties of bound states below and scattering states above threshold are correlated via a quantization function F(E), whose near-threshold behaviour is dominantly determined by the far tail of the potential. Knowledge of F(E) makes it possible to derive important properties of near-threshold states by simple, model-independent methods which are competitive with and sometimes superior to popular ab initio methods, mainly because they do not require any knowledge of the short-ranged behaviour of the potential.For an energy range extending over several near-threshold bound states, the behaviour of F(E) is well understood qualitatively, but quantitative applications have so far been restricted to homogeneous potential tails proportional to −1/r6. The aim of the this project is to determine F(E) quantitatively for other powers and also for significantly nonhomogeneous tails. This will enable a wide range of applications in atomic and molecular systems.

• DFG-Verfahren: Sachbeihilfen