Quantum three body problem: Landau fall

Landau Fall

Landau discussed in his book why hydrogen like atoms ( Two body problem ） The stability of : Electrons don't fall into the nucleus . According to the mathematical form of quantum three body problem , Maybe it can also be used , Discuss why three charged particle systems do not collapse together .

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Radial operator in equation （$\rho$）

$\rho$ The physical meaning of is the inertial mass of the system in the centroid coordinate system