The discussion focuses on the quantum numbers used to label the eigenfunctions of the helium atom, specifically in the context of non-perturbative solutions to the three-body problem. The relevant quantum numbers include the term symbol components: L (orbital angular momentum), S (spin), J (total angular momentum), and MJ (magnetic quantum number). Variational methods are highlighted as effective techniques for obtaining accurate results, with references to "Intermediate Quantum Mechanics" by Bethe and Jackiw, and key research papers by Drake and Van (1994) and Yan and Drake (1995) providing foundational insights.
PREREQUISITESPhysicists, quantum mechanics students, and researchers focused on atomic structure and eigenfunction analysis, particularly those interested in helium atom studies.
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?