The Nature of the Cooper Pair - University of Liverpool

The Schrodinger equation has the same form as that for the
ground state electron of the hydrogen atom:
− �2 1
2µ r2 d
R dr
�
r 2dR
dr
�
+ V (r)R = ER.
except that the electron mass is replaced by µ, the reduced
mass me/2.
The Schrodinger equation can be rewritten in the familiar 1D
form by using a new function
ψ(r) = rR(r).
Note this this is r times the actual wavefunction R(r). The
Schrodinger equation then becomes
− �2
2µ
Superconductivity 33
d2ψ + V (r)ψ = Eψ.
dr2