Abstract
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.
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© 1995 Springer-Verlag Berlin Heidelberg
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Schwabl, F. (1995). The Central Potential I. In: Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03170-4_6
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DOI: https://doi.org/10.1007/978-3-662-03170-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59187-0
Online ISBN: 978-3-662-03170-4
eBook Packages: Springer Book Archive