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Random Partitions and the Quantum Benjamin-Ono Hierarchy
[article]
2017
arXiv
pre-print
We derive exact and asymptotic results for random partitions from general results in the semi-classical analysis of coherent states applied to the classical periodic Benjamin-Ono equation at critical regularity s= -1/2. We find classical dF_ |v (c| ε) and quantum dF̂^η_NS( c | ħ, ε)|_Ψ conserved densities for this system with dispersion coefficient ε extending Nazarov-Sklyanin (2013). For quantum stationary states, this conserved density is dF_λ(c | ε_2, ε_1) the Rayleigh measure of the profile
arXiv:1508.03063v3
fatcat:agw5xrfmfrcj3kkfjxtn5zzinm