Hierarchy of quantum explicitly solvable and integrable models

dc.creatorPogrebkov, A.
dc.date2002-02-20
dc.date2002-06-13
dc.date.accessioned2026-07-07T05:33:55Z
dc.date.available2026-07-07T05:33:55Z
dc.descriptionRealizing bosonic field v(x) as current of massless (chiral) fermions we derive hierarchy of quantum polynomial interactions of the field v(x) that are completely integrable and lead to linear evolutions for the fermionic field. It is proved that in the classical limit this hierarchy reduces to the dispersionless KdV hierarchy. Application of our construction to quantization of generic completely integrable interaction is demonstrated by example of the mKdV equation.
dc.description12 pages, LaTeX, to be published in Theor. Math. Phys., added reference
dc.identifierhttps://arxiv.org/abs/nlin/0202043
dc.identifierhttp://arxiv.org/abs/nlin/0202043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80175
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectPattern Formation and Solitons
dc.titleHierarchy of quantum explicitly solvable and integrable models
dc.typetext

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