Deriving ground state electron energy using Boundary Value

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  • #1
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Homework Statement:
Derive the ground state electron energy ##E_1## based on the boundary condition of R(r) -> 0, r -> ∞ and write down the corresponding energy function, Psi. (5 points)
Relevant Equations:
Schrodinger's Equation (below)
ss01.png

This is the equation given.
I attempted to use Radial Equation, obtained from separating variables, to solve for ##E_1##.
IMAG1361_2.jpg

IMAG1363_2.jpg
 

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  • #2
BvU
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Here's the problem. the equation was stated in class to be Schrodinger's Equation.
Last problem should say: n, l, and m are arbitrary constants.

View attachment 255295

We are now in part (d) of your exercise. I can hardly read, let alone quote from your jpg.
What constraints are there on ##l##, and what does that mean when in the ground state ##n=0## ?
 
  • #3
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What constraints are there on ##l##, and what does that mean when in the ground state ##n=0## ?
Okay, will keep in mind. Thanks!

We are now in part (d) of your exercise. I can hardly read, let alone quote from your jpg.
I'm slightly touched you remember which problem this is.. and I apologize for the terrible image quality! I'll be more quotable next post.
 

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