In this chapter, we will consider motion in central potentials. We first reduce the time independent Schrödinger equation to a one-dimensional (radial) problem. We then determine the bound states for the most important case of an attractive Coulomb potential. Finally, we transform the two-body problem into a one-body problem with a potential, so that our treatment of motion in a Coulomb potential also covers the nonrelativistic hydrogen atom.
KeywordsWave Packet Recursion Relation Coulomb Potential Orbital Angular Momentum Energy Eigenvalue
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