Using dimensional scaling, we were able to obtain a systematic expansion for Regge trajectories in 1/κ, where κ = (D-1)/2 and D is the number of spatial dimensions. Bound states for the power-law potential were obtained from Regge trajectories by requiring the angular momentum quantum number to take on positive integer values. For scattering states, we calculated the positions of Regge poles for the Lennard-Jones (6,4) and (12,6) potentials. The results to first order in 1/κ were in good agreement with both semiclassical and quantum calculations. The same expansion was used to obtain the positions of Regge poles for complex optical potentials. The results for the Lennard-Jones (12,6) potential perturbed by an imaginary term were in excellent agreement with the semiclassical calculations.
|Number of pages||4|
|Journal||Journal of Physical Chemistry|
|Publication status||Published - 1 Dec 1993|
ASJC Scopus subject areas
- Physical and Theoretical Chemistry