耗散系统的量子力学

摘要

The phenomenologic quantum equations——the CK′s equation and the Kostin′s nonlinear Schr dinger-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 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.%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，并讨论了非线性S-L方程所对应的Hamiltonian量的非实性的原因．