Recent content by Nemetz

  1. N

    1D delta funtion potential well

    "Now, if you have solved the bound well, then you can graphically find the solutions for the bound energy levels (by plotting the two sides of the transcendental equation against each other). If you look at the results you will see that no matter how narrow your well gets, there will always be...
  2. N

    1D delta funtion potential well

    Hello G01, "Also, point 4 is not correct. Not all 1-D potentials have bound states. Consider the delta "spike," V(x)=αδ(x), as an example." This is correct of course. But, point 4 is still valid for the given potential. To keep a similar degree of generality it could be rephrased as: all...
  3. N

    1D delta funtion potential well

    Hello forum, I have a question regarding the delta function potential well. Given the following potential: V(x) = -αδ(x) for -a/2 < x < a/2 (α- positive constant) and V(x) = 0 elsewhere, how would one show that the ground state is the only eigenstate with E <0. One could of course solve the...
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