Differences

This shows you the differences between two versions of the page.

--- classes:2009:fall:phys4101.001:lec_notes_1111 [2009/11/16 17:01] – ludeman
+++ classes:2009:fall:phys4101.001:lec_notes_1111 [2009/11/19 10:21] (current) – ludeman
@@ Line 20: / Line 20: @@
 ====Final Words on the Radial Equation====
-For bound state, E<0 with l=0, equation [4.37] reduces from 3-D to 1-D with <math>=-k^2=\frac{2m(E+V_0)} \hbar^2</math>
+For bound state, E<0 with l=0, equation [4.37] reduces from 3-D to 1-D with <math>-k^2=\frac{2m(E+V_0)} \hbar^2</math>
 Then for r<a: <math>u"=-k^2u</math> Therefore <math>u(r)=Asin(kr)</math>
@@ Line 34: / Line 34: @@
 //The key point here is that tan(z) doesn't exist in 3-D. In descriptive terms, if the well is to shallow there will not be a solution. There needs to be a wide enough and deep enough well for a bound state.//
-//Also there are no allowed energies at n=0. Recall that for cot(z) the lowest allowed energies are <math>\frac{\pi} 2<z<\pi</math>//
+//Also there are no allowed energies at n=0. Recall that for cot(z) the lowest allowed energies are// <math>\frac{\pi} 2<z<\pi</math>
 ====Radial Wave Function for the Hydrogen Atom====