摘要
利用 SQP方案重点讨论了经典上线性阻尼系统所对应的量子力学唯象学 CK方程和 Kostin非线性 S- L方程 ,用 Madelung- form展示了相应量子力学方程的含义 .进一步研究了与 CK和 Kostin量子方程相应的拉氏密度 L, 并讨论了非线性 S- L 方程所对应的
The phenomenologic quantum equations——the CK′s equation and the Kostin′s \{nonlinear Schrodinger Lagenvin\} equation correspording tothe classical linear dissipasive systems \{are discussed by methods of\} SQP. The physical content of such equations is displayed more \{clearly in the so called\} Madelung form i.e. the hydrodynamical picture of quantum theory. The \{lagrangian densities\} L corresponding to these equations are investigated as well. Especially, the \{nonreality of the\} Kostin′s Hamiltonian or nonhermitianity of the Kostin′s Hamiltonian operator is \{discussed.\}
出处
《郑州大学学报(自然科学版)》
CAS
2000年第4期29-36,共8页
Journal of Zhengzhou University (Natural Science)