Difference between revisions of "Talk:Eigenfunction Matching for a Finite Dock"

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(Expression of the potential under the dock)
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do not satisfy the Laplace equation. Nor do any linear combination of them so it seems to me that we have to write <math>b_0=c_0=0</math> which means removing them from the potential expression.
 
do not satisfy the Laplace equation. Nor do any linear combination of them so it seems to me that we have to write <math>b_0=c_0=0</math> which means removing them from the potential expression.
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Eigenfunctions <math>\frac{L\pm x}{2L}</math> work better but they will cause problems for infinite depth...

Revision as of 16:01, 11 April 2008

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Expression of the potential under the dock

It seems that the eigenfunctions [math]\displaystyle{ \frac{L\pm x}{2L}\psi_{0}(z) }[/math] do not satisfy the Laplace equation. Nor do any linear combination of them so it seems to me that we have to write [math]\displaystyle{ b_0=c_0=0 }[/math] which means removing them from the potential expression.

Eigenfunctions [math]\displaystyle{ \frac{L\pm x}{2L} }[/math] work better but they will cause problems for infinite depth...