RADIAL PROBABILITY-DISTRIBUTIONS OF ATOMS IN DIATOMIC-MOLECULES REPRESENTED BY THE ROTATING MORSE AND TIETZ-HUA OSCILLATORS

Radial probability distributions of diatomic molecules in excited rota tional-vibrational states are derived using the Bohr-Sommerfeld quanti zation rule and the Hamilton-Jacoby theory. The obtained semiclassical distributions for the rotating Morse and Tietz-Hua oscillators are co mpared, in a broad range of rotational and vibrational quantum numbers , with one another and with quantum-mechanical distributions obtained from numerical solution of the Schrodinger equation using an RKR poten tial. (C) 1998 Elsevier Science B.V.