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DLMF: Figure 18.39.1 ‣ §18.39 Applications in the Physical Sciences ‣ Applications ‣ Chapter 18 Orthogonal Polynomials
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18 Orthogonal PolynomialsApplications18.39 Applications in the Physical Sciences
Figure 18.39.1 (See in context.)
See accompanying text
Figure 18.39.1: Graphs of the first and fourth excited state eigenfunctions of the harmonic oscillator, for ℏ=k=m=1, of (18.39.13), in ψ1⁢(x), ψ4⁢(x) and those of the rational potential of (18.39.19), in ψ^3⁢(x), ψ^6⁢(x). Both sets satisfy the Sturm oscillation theorem.
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Annotations:
Symbols:
k: nonnegative integer, m: nonnegative integer and x: real variable
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See also:
Annotations for §18.39 and Ch.18
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