The discussion centers on the quantum numbers used to label the eigenfunctions of the helium atom, particularly focusing on the non-perturbative structure of these eigenfunctions. It encompasses theoretical aspects and references to various methods of analysis, including variational approaches.
Participants express differing views on the interpretation of "non-perturbative" and the methods for analyzing helium eigenfunctions. No consensus is reached regarding the specific quantum numbers or the implications of the 3-body problem.
The discussion highlights limitations in the analytical treatment of the helium atom due to its complexity, as well as the dependence on specific methods and definitions used in quantum mechanics.
HomogenousCow said:Are there any results on the structure of the helium atom eigenfunctions? By this I'm referring to the non-perturbative structure of the eigenfunctions, AKA what are the quantum numbers that one would use to label the eigenfunctions?
The following may be relevant: http://www.scholarpedia.org/article/Semiclassical_theory_of_helium_atomHomogenousCow said:Are there any results on the structure of the helium atom eigenfunctions? By this I'm referring to the non-perturbative structure of the eigenfunctions, AKA what are the quantum numbers that one would use to label the eigenfunctions?