Previous work concluded that the leading term of the energy spectrum of a quantum particle moving in an inverse-square law potential with regulated singularity is non-perturvative in nature. Trans-series and resurgence theory predicts the emergence of perturbative, and potentially logarithmic, corrections to the leading behavior. This talk relates an attempt to systematically calculate such corrections for the first time.
Zhang, Jian Ms.
"Application of Resurgence Theory to Approximate Inverse Square Potential in Quantum Mechanics,"
Macalester Journal of Physics and Astronomy:
1, Article 10.
Available at: http://digitalcommons.macalester.edu/mjpa/vol3/iss1/10