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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 $H_4$ Ham...
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 $H_4$ Hami...
We review the fictitious integrable system approach which predicts dynamical tunneling rates from regular states to the chaotic region in systems with a mixed phase space. It is based on the introduc...
An isospectral problem with four potential is discussed. The corresponding hierarchy of Lax integrable evolution equations is derived. For the hierarchy, it is shown that there exist other new reducti...
2006Vol.45No.1pp.45-48DOI: Integrable System and Motion of Curves in Projective and Similarity Geometries HOU Yu-Qing Department of Electronics, Northwest University, Xi...
2004Vol.41No.4pp.497-498DOI: Variable Separation Approach to Solve a (2+1)-Dimensional Integrable System SHEN Shou-Feng,1 PAN Zu-Liang,1 and ZHANG Jun2 1 Department of ...

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