- #1
fab333
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What are the conditions for which it can be concluded that a system has discrete energy levels?
For example a system in one dimension with the potential
[itex]V(x)=b|x| [/itex]
has only a discrete spectrum. How I can prove it?
My book says moreover that the energy eigenvalues have to satisfy the condition
[itex]\lmoustache_{x_1}^{x_2} dx \sqrt{2m[E- \lambda |x|]} = (n+1/2) \pi \hbar [/itex]
why?
thanks for help.
For example a system in one dimension with the potential
[itex]V(x)=b|x| [/itex]
has only a discrete spectrum. How I can prove it?
My book says moreover that the energy eigenvalues have to satisfy the condition
[itex]\lmoustache_{x_1}^{x_2} dx \sqrt{2m[E- \lambda |x|]} = (n+1/2) \pi \hbar [/itex]
why?
thanks for help.