The algebraic approach to the Morse oscillator
Manuel Berrondo, Alberto José Palma
The discrete spectrum for a Morse oscillator is found using an SO(2, 1) algebra. Since this algebra does not prove to be appropriate to compute matrix elements for the oscillator eigenfunctions, the author construct a B 1 -type algebra with the aid of an auxiliary angle variable. Matrix elements and recurrence relations are found for several useful operators using the algebra. The limit in which the anharmonicity tends to zero is studied.
Journal of Physics A Mathematical and General•Mar 1, 1980•97 citations