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?
A helium atom eigenfunction is a mathematical function that describes the probability of finding an electron in a specific energy state within a helium atom. It is a solution to the Schrödinger equation, which is used to describe the behavior of electrons in atoms.
Helium atom eigenfunctions are directly related to energy levels. Each eigenfunction corresponds to a specific energy level, and the higher the energy level, the more complex the eigenfunction becomes. The eigenfunctions also determine the shape of the electron orbitals within the atom.
Helium atom eigenfunctions are significant because they provide a way to understand and predict the behavior of electrons in a helium atom. They also help to explain the stability and reactivity of helium and other elements.
Helium atom eigenfunctions are calculated using the Schrödinger equation, which is a complex mathematical equation that takes into account the properties of the electrons, the nucleus, and the forces between them. This equation is solved using advanced computational methods.
No, helium atom eigenfunctions cannot be directly observed. They are mathematical descriptions of the behavior of electrons in a helium atom and do not have a physical form. However, their effects can be observed through experiments and calculations.