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18
Orthogonal Polynomials
Applications
18.39
Applications in the Physical Sciences
18.39
Applications in the Physical Sciences
18.40
Methods of Computation
Figure 18.39.1
(See
in context
.)
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
ψ
1
(
x
)
,
ψ
4
(
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.
ⓘ
Annotations:
Symbols:
k
: nonnegative integer
,
m
: nonnegative integer
and
x
: real variable
Permalink:
http://dlmf.nist.gov/18.39.F1.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§18.39
and
Ch.18