Abstract
The behavior of wave functions in three dimensions is investigated, with a focus on angular momentum and spherically symmetric potentials. As a highlight, we determine the energy levels of the hydrogen atom. Again, algebraic methods turn out to be very useful and elegant.
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R. Shankar, Principles of Quantum Mechanics, 2nd edn. (Springer, 2011). (Excellent textbook. Two extensive chapters on the path integral)
M.J. Boas, (2007) Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, (A classic on mathematical methods (Particularly instructive for QM is the treatment of Legendre, Hermite and Laguerre polynomials), 2007)
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© 2016 Springer International Publishing Switzerland
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Schwindt, JM. (2016). Three-Dimensional Systems. In: Conceptual Basis of Quantum Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-24526-3_7
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DOI: https://doi.org/10.1007/978-3-319-24526-3_7
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-24524-9
Online ISBN: 978-3-319-24526-3
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