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