1. The eigenfunctions permit to calculate the nl-character density, a quantity which is analogous to the density-of-states.

2. This allows for both approximate (e.g., adiabatic and crude-Born–Oppenheimer) and exact solutions for the energies and eigenfunctions of the coupled molecule–solvent systems.

3. The Circumferentially segmented liner: in which K~ is the complex axial wave number and P (r,8) is the acoustic pressure eigenfunction for the Circumferentially segmented liner