Abstract
We are now in a position to calculate the full angular functions for the general central force problem, using the laddering techniques for the θ equation to construct the full set of angular functions Θ(θ) via the normalized step-down operators. Because the eigenvalue λ = λ0 + 1/4 is a function of mmax ≡l, we will replace the index λ by the integer l. [Recall that λ = L(mmax + 1) = (l + 1/2)2] The full angular functions are the spherical harmonics
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© 2000 Springer Science+Business Media New York
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Hecht, K.T. (2000). Spherical Harmonics, Orbital Angular Momentum. In: Quantum Mechanics. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1272-0_8
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DOI: https://doi.org/10.1007/978-1-4612-1272-0_8
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