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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Spectral Zeta function

**Physics Forums | Science Articles, Homework Help, Discussion**