HIERARCHY OF QUANTUM EXPLICITLY SOLVABLE AND INTEGRABLE MODELS

@article{Pogrebkov2002HIERARCHYOQ,
  title={HIERARCHY OF QUANTUM EXPLICITLY SOLVABLE AND INTEGRABLE MODELS},
  author={Andrei K. Pogrebkov},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  year={2002},
  pages={231-244}
}
  • A. Pogrebkov
  • Published 20 February 2002
  • Physics
  • arXiv: Exactly Solvable and Integrable Systems
Realizing 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. 

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