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- W3098359942 abstract "The quantum H 4 integrable system is a 4D system with rational potential related to the non-crystallographic root system H 4 with 600-cell symmetry. It is shown that the gauge-rotated H 4 Hamiltonian as well as one of the integrals, when written in terms of the invariants of the Coxeter group H 4 , is in algebraic form: it has polynomial coefficients in front of the derivatives. Any eigenfunction is a polynomial multiplied by ground-state function (factorization property). Spectra correspond to one of the anisotropic harmonic oscillators. The Hamiltonian has infinitely-many finite-dimensional invariant subspaces in polynomials, they form the infinite flag with the characteristic vector α = (1, 5, 8, 12)." @default.
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- W3098359942 date "2011-02-28" @default.
- W3098359942 modified "2023-10-16" @default.
- W3098359942 title "THE QUANTUM H4 INTEGRABLE SYSTEM" @default.
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- W3098359942 doi "https://doi.org/10.1142/s0217732311034839" @default.
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