Let be H an Schrodinguer operator so [tex] H \phi =E_n \phi [/tex](adsbygoogle = window.adsbygoogle || []).push({});

then we have the identity

[tex] \sum_ {n} E_{n}^{-s} = \frac{1}{\Gamma (s)} \int_{0}^{\infty} dt t^{s-1} Tr[e^{-tH}] [/tex]

the problem is , that to define the Trace of an operator i should know the Eigenvalues or the Determinant of the Schrodinguer operator, anyone can help ? thanks.

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# Spectral Zeta function

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