Let,s suppose we have a qunatum system so the energies are the roots of the function f(x)=0..then my question is that we could calculate the roots to obtain E(0),E(1),E(2),.....but the problem comes when we have the integral..(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_0^{\infty}E(n)dn[/tex] my question is if for this case we could modelize E(n) for non-integer n in the form:

[tex]E(n)=\sum_{k=0}^{\infty}E(n)\delta(n-k)[/tex]

so for this case the sum becomse the series: [tex]\sum_{k}E(k) [/tex] for every positive integer... thanx.

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# Integral over energies

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