Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2019
• 1. Verfasser: Moll, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210290
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation / A. Moll // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 61 назв. — англ.

In this paper, we describe the spectrum of the quantum periodic Benjamin-Ono equation in terms of the multi-phase solutions of the underlying classical system (the periodic multi-solitons). To do so, we show that the semi-classical quantization of this system, given by Abanov-Wiegmann, is exact and...