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Schrödinger equation solution for the helium atom
...
Particle physics
Quantum mechanics
Non-relativistic quantum mechanics
Schrödinger equation
Solutions of the Schrodinger equation
Solutions for the Schrodinger equation with multiple particles
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No closed form solution, but good approximation that can be calculated by hand with the
Hartree-Fock method
, see
hartree-Fock method for the helium atom
.
Bibliography:
www.quora.com/Why-do-electrons-not-repel-each-other-on-their-orbits
physics.stackexchange.com/questions/224108/what-does-an-orbital-mean-in-atoms-with-multiple-electrons-what-do-the-orbitals
Video 12.
Quantum Chemistry 9.2 - Helium Atom Energy Approximations by TMP Chem (2016)
Source
. Video gives the actual numerical value of various methods, second order
perturbation theory
being very close. But it the says that in the following videos will only do
Hartree-Fock method
.
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Solutions for the Schrodinger equation with multiple particles
Solutions of the Schrodinger equation
Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
Particle physics
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Schrödinger equation
Why do multiple electrons occupy the same orbital if electrons repel each other?