QUANTIZATION CONDITIONS OF EIGENVALUES FOR SEMICLASSICAL ZAKHAROV-SHABAT SYSTEMS ON THE CIRCLE.

Bohr-Sommerfeld type quantization conditions of semiclassical eigenvalues for the non-selfadjoint Zakharov-Shabat operator on the unit circle are derived using an exact WKB method. The conditions are given in terms of the action associated with the unit circle or the action associated with turning points following the absence or presence of real turning points. [ABSTRACT FROM AUTHOR]