Wave function central force system

Electrostatics is the study of interactions between charged objects. Electrostatics alone will not described molecular systems, but it is very important to the understanding of interactions of electrons, which is described by a wave function or electron density. The central pillar of electrostatics is Coulombs law, which is the mathematical description of how like charges repel and unlike charges attract. The Coulombs law equations for energy and the force of interaction between two particles with charges q and q2 at a distance rn are... 

For a one-particle system with potential energy a function of r only [V=V(r), a central-force problem], the stationary-state wave functions have the form tf/ = R(r)Y (0, ), where R r) satisfies the radial equation (6.17) and Y" are the spherical harmonics. 

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