Energy level statistics are presented for the vibrational levels of polyatomic molecules utilizing a local mode Hamiltonian made of four coupled Morse oscillators. The nearest-neighbour level spacing distribution shows a progressive transition towards a Wigner distribution. The Δ3 statistics of Dyson-Mehta and correlation coefficients also lead to the same conclusion. The effect of the model-independent kinetic (Wilson) coupling is found to be overwhelmingly predominant over coordinate coupling.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry