标题： Hénon-Heiles系统的拟点变量分离及其具有四次势的系统 显示英文标题

标题： Quasi-point separation of variables for the Henon-Heiles system and a system with quartic potential

摘要： 我们通过变量分离的方法研究了二维Hamiltonian系统的可积性问题。 提出了构造某些自然的二维Hamiltonian特殊非纯坐标分离变量的系统方法。 讨论了与超对称量子力学的关系。 显示英文摘要

摘要： We examine the problem of integrability of two-dimensional Hamiltonian systems by means of separation of variables. The systematic approach to construction of the special non-pure coordinate separation of variables for certain natural two-dimensional Hamiltonians is presented. The relations with SUSY quantum mechanics are discussed.