A class of Hamiltonian systems derived from nonstandard Poisson brackets are investigated. For each system a conserved quantity is constructed that depends only upon the definition of the Poisson bracket. The quantum theory for these systems is sketched and classical and quantum ''blowup'' phenomena are compared.
机构:
Kyoto Univ, Grad Sch Human & Environm Studies, Sakyo Ku, Kyoto 6068501, JapanKyoto Univ, Grad Sch Human & Environm Studies, Sakyo Ku, Kyoto 6068501, Japan
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China