As mentioned before, algebraic methods have been applied to a wide variety of fields both in physics and in chemistry. Systems displaying a dynamic symmetry can be treated with algebraic techniques. In particular, the Morse  and Pöschl-Teller (PT) potentials [416, 417] represent two of the most studied anharmonic ones, both having in common their relation with the SO(2, 1) [153, 156, 213, 406, 409] and SU(2) [106, 197] groups. The latter description has been exploited to describe the vibrational excitations of molecular systems, while the former arises in the potential group approach, where wave functions associated with different potentials but with the same energy are connected.
Unable to display preview. Download preview PDF.