# THE QUANTUM H4 INTEGRABLE SYSTEM

@article{Garcia2010THEQH, title={THE QUANTUM H4 INTEGRABLE SYSTEM}, author={Marcos A. G. Garc'ia and Alexander V. Turbiner}, journal={Modern Physics Letters A}, year={2010}, volume={26}, pages={433-447} }

The quantum H4 integrable system is a 4D system with rational potential related to the non-crystallographic root system H4 with 600-cell symmetry. It is shown that the gauge-rotated H4 Hamiltonian as well as one of the integrals, when written in terms of the invariants of the Coxeter group H4, 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…

## 7 Citations

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