Orthohelium Alternative Electron Configuration

In the previous post we let RealQM compute the first line in the spectrum of Helium from ground state as Orthohelium assuming that one electron is excited from 1S to 2S and obtained an energy of 0.728 Hartree in accordance with observation as a line easy to observe as the difference between $-2.175$ and $-2.903$ Hartree. 

We compare assuming instead excitation to the 2nd eigenvalue of Schrödinger's equation for Helium in the form given by RealQM. You can run the code here. We obtain the same energy of 0.728 Hartree in agreement with observation. 

RealQM thus gives the same first line in the spectrum of Helium with two different electron configurations.

Note that in Standard Quantum Mechanics StdQM the first exited states of Helium comes on two forms, as Orthohelium with the the two electrons having the same spin as a triple state, and Parahelium with different spin as a singlet state. RealQM corresponds to Orthohelium since in RealQ there is only same spin. 

Orthohelium is much easier to observe (more stable) than Parahelium and so appears to represent more solid physics. 

The fact that RealQM gives correct 1st line of Helium as Orthohelium with two different electron configurations is another piece of evidence that RealQM captures physics. Both configurations have in the RealQM electric dipoles varying over time and so radiate, with the 1S to 2S weaker.

The electron configuration of Orthohelium in StdQM is very complex, and as such probably with less physics. 

Recall that DFT being focussed on ground states has to struggle with excited states in heavy software. It may show to be remarkable that the 3-line code of RealQM can outperform DFT.