372(3): Lagrangian Quantum Mechanics of the Helium Atom

This sets up the problem in general. There are five Euler Lagrange equations in five unknowns. The space is only three dimensional, so Lagrange multipliers must be used as in molecular dynamics computer simulation of n interacting molecules. Having found the momentum classically it can be quantized to give the wavefunction of the helium atom without the use of perturbation theory. The Pauli exclusion principle can be used as usual. The next note will define the Lagrange multipliers.


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