Review schrodinger equations not dependent on 3D time in ball coordinates (- v² +V(f) )Þ(F) = E Þ(f) 2m With = (r, 0,q) and E is the energy system. Assume the potential is only radial function To solve the Schrodinger equation above apply the method p(r, 0, p) = R(r)P(0)Q(») V (f) = V(r). variable separation problem : Specify a common solution 4(r, Q.$) for 1 = 0 and V(r) = 0
Review schrodinger equations not dependent on 3D time in ball coordinates (- v² +V(f) )Þ(F) = E Þ(f) 2m With = (r, 0,q) and E is the energy system. Assume the potential is only radial function To solve the Schrodinger equation above apply the method p(r, 0, p) = R(r)P(0)Q(») V (f) = V(r). variable separation problem : Specify a common solution 4(r, Q.$) for 1 = 0 and V(r) = 0
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Transcribed Image Text:Review schrodinger equations not dependent on 3D time in ball coordinates
-v² + V(f) ) µ(F) = E Þ(*)
2m
i = (r, 0, 4)
V (f) = V(r).
and E is the energy system. Assume the potential is only radial function
To solve the Schrodinger equation above apply the method
With
y(r, 0, q) = R(r)P(0)Q(9)
variable separation
problem : Specify a common solution (r, 0,0) for l = 0 and V(r) = 0
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