Maia Angelova (Northumbria University, Newcastle, UK)

Algebraic models of anharmonic oscillators

Abstract:
   The motivation of this work is the Lie-algebraic approach to anharmonic quantum oscillators and in particular the Morse oscillator. Constructions of ladder operators, quantum bosons and states, including coherent states, related to the discrete spectrum of the anharmonic quantum system, are considered. Properties of diatomic molecules and molecular complexes are presented in the context of the models.