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Quantum dispersionless KdV hierarchy revisited

Mathematical Physics 2025-10-16 v3 Combinatorics math.MP Quantum Algebra

Abstract

We quantize Hamiltonian structures with hydrodynamic leading terms using the Heisenberg vertex algebra. As an application, we construct the quantum dispersionless KdV hierarchy via a non-associative Weyl quantization procedure and compute the corresponding eigenvalue problem.

Keywords

Cite

@article{arxiv.2410.16747,
  title  = {Quantum dispersionless KdV hierarchy revisited},
  author = {Zhe Wang},
  journal= {arXiv preprint arXiv:2410.16747},
  year   = {2025}
}
R2 v1 2026-06-28T19:31:00.471Z