What are the conditions for which it can be concluded that a system has discrete energy levels?(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Homework Help: When a particle in one dimension have discrete spectrum?

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