Question: (a) The correlation function used in (9.6.10) is not Hermitian. Show that if the correlation function is made Hermitian by the method used in (9.6.5),

(a) The correlation function(vac|a(t)a (0) | vac)

used in (9.6.10) is not Hermitian. Show that if the correlation function is made Hermitian by the method used in (9.6.5), the spectral function will be symmetric with respect to ω = 0.

(b) Find the spectral function for the case of a noninteracting boson gas, for a symmetrized correlation function.

(vac|a(t)a (0) | vac)

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