CAJ | 학술논문

引入广义坐标和广义动量,将非线性自洽两体量子模型表述为经典不含时哈密顿系统并实现了去约束经典哈密顿量的正则化.量子系统的整体规范不变性,体现在去约束经典哈密顿量和哈密顿动力学关系的不变性中.利用代数动力学方法求解经典哈密顿方程,得到了两体量子系统的六阶近似分析解.
인입엄의좌표화엄의동량,장비선성자흡량체양자모형표술위경전불함시합밀돈계통병실현료거약속경전합밀돈량적정칙화.양자계통적정체규범불변성,체현재거약속경전합밀돈량화합밀돈동역학관계적불변성중.이용대수동역학방법구해경전합밀돈방정,득도료량체양자계통적륙계근사분석해.
As it well known, quantum system can be translated to classic Hamilton system strictly by using generalized coordinate and generalized momentum. Furthermore, we deal with a nonlinear self-consistent two-mode quantum system which shows that the Schrodinger equations can be described as classic Hamilton equations. Furthermore, the classic Hamiltonian and the Hamilton equations kept unchanged during gauge transformation. Taken advantage of algebraic dynamics, the quantum system can be solved analytically in 6th order.