Adelic integrable systems
Copyright policy )Adelic integrable systems
Incorporating the zonal spherical function (zsf) problems on real and p-adic hyperbolic planes into a Zakharov–Shabat integrable system setting, we find a wide class of integrable evolutions that respect the number-theoretic properties of the zsf problem. This means that at all times these real and p-adic systems can be unified into an adelic system with an S matrix that involves (Dirichlet, Langlands, Shimura,...) L functions.
- University of Chicago United States
- University of Chicago United States
- University of Chicago United States
- University of Chicago United States
High Energy Physics - Theory, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, \(L\) functions, \(S\) matrix, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, integrable Zakharov-Shabat systems, discrete time, adelic system, High Energy Physics - Theory (hep-th), Additive difference equations, \(S\)-matrix theory, etc. in quantum theory
High Energy Physics - Theory, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, \(L\) functions, \(S\) matrix, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, integrable Zakharov-Shabat systems, discrete time, adelic system, High Energy Physics - Theory (hep-th), Additive difference equations, \(S\)-matrix theory, etc. in quantum theory
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