Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant

G. Andrei Mezincescu

Comparison between the exact value of the spectral zeta function, $Z_H(1)=5^{-6/5}[3-2\cos (\pi /5)]{\Gamma }^2(1/5)/\Gamma (3/5)$, and the results of numeric and WKB calculations supports the con…