非线性量子力学的建立

笔者在长期研究工作的基础上,从提出非线性量子力学的基本原理出发,建立起了非线性量子力学理论,形成了完整的非线性量子力学的理论体系。从而把量子力学从线性领域推广和发展到非线性领域。在本文中笔者描述了建立这个非线性量子力学的物理背景,它的基本构思,研究的技术路线,产生的实际效果,与国际同类研究比较,本研究的创新和特点以及研究的重大意义。

Establishment of Nonlinear Quantum Mechanics

For the development of quantum mechanics from linear range to nonlinear domain the author work at and investigate this problem about 20 years.He firstly sought the roots of these problems existed in the LQM.When restrictions of the elementary hypotheses for the independence of the Hamiltonian of the systems on the states of the particles and the linearity of the theory in the LQM were broken through he proposed and established elementary principles and theory of the NLQM according to the features and theory of macroscopic quantum effects and soliton theory,found out further the properties and rules of motion of the MIPs in the nonlinear systems.He discovers that the laws of motion of the MIPs in such a case are completely different from that in the LQM.They have a lot of new properties.Therefore the NLQM is a new subject,it could solve these problems disputed long-times about one centenary by the scientists in the LQM.Meanwhile,the self-consistence and validity of this theory have been also checked,we can give a lot of new results and explain a large number of physical phenomena,if it is utilized in physics,biology and polymer.Thus the NLQM is a necessary result of development of quantum mechanics and correct representation form in the nonlinear systems.Establishing the NLQM can promotes development of physics and can raise the knowledge and recognition levels to the essences of the microscopic matters.Therefore,the NLQM built has important science meanings.