期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation | |
article | |
Maxim Nazarov1  Evgeny Sklyanin1  | |
[1] Department of Mathematics, University of York, United Kingdom | |
关键词: Jack symmetric functions; quantum Benjamin–Ono equation; collective variables; | |
DOI : 10.3842/SIGMA.2013.078 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many variables $x_1,x_2,\ldots$. This construction provides explicit expressions for the Hamiltonians in terms of the power sum symmetric functions $p_n=x_1^n+x_2^n+\cdots$ and is based on our recent results from [ Comm. Math. Phys. 324 (2013), 831-849].
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300001402ZK.pdf | 395KB | download |