Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation

A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov

For the nonlocal $T$-periodic Gross-Pitaevsky operator, formal solutions of the Floquet problem asymptotic in small parameter $\hslash$, $\hslash \to 0$, up to $O({\hslash }^{3/2})$ have been…