Hydrogen, free spherical coordinates

The chapter contains a review of the free hydrogen atom eigenfunctions in the spherical, spheroconal, parabolic, and prolate spheroidal coordinates an overview of our own works for confinement by most of the above-mentioned boundaries and a preview of problems on confined atoms and molecules of current and future investigations. [Pg.167]

The time-independent Schrodinger equation for a hydrogen atom was separated into a one-particle Schrodinger equation for the motion of the center of mass of the two particles and a one-particle Schrodinger equation for the motion of the electron relative to the nucleus. The motion of the center of mass is the same as that of a free particle. The Schrodinger equation for the relative motion was solved by separation of variables in spherical polar coordinates, assuming the trial function... [Pg.759]

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