Study of L2 Basis-Method Application in Many Electron Atom
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The L2 basis method constructed from Laguerre polynomial has been applied to helium atom, as a simple example of many electron atoms. The non-relativistic Schroedinger equation of helium atom with l = 0 will be considered. By separating the variables related to the electrons position, the helium states can then be written as a coupling between two single electron states where these states can be expressed as L2 basis expansion. The eigen energies and states can finally be solved by diagonalization of the Hamiltonian.