y***u
发帖数: 25 | 1 ok, the equation is:
R''O+R'O/r+RO''/r^2=(V-k^2)RO
V=0 here
multiply both sides by r^2/(RO)
-> r^2 R''/R+r R'/R+O''/O=-r^2*k^2
Rearrange it as
r^2 R''/R+r R'/R+r^2*k^2=-O''/O
Since the left hand side only depends on $r$ and the right hand side only
depends on $o$, so they must be equal to a constant, set the constant as
$m^2$, so
r^2 R''/R+r R'/R+r^2*k^2=-O''/O=m^2
This is the standard procedure of variable seperation, you can find it in any
college mathematical physics text or find the exampl |
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