【摘要】 利用代数动力学方法,分别在两种不同的规范条件下,得到了描述量子辐射场与经典流相互作用的hw(4)线性非自治量子系统在谐振子表象和相干态表象中的精确解及其Cartan不变算子,建立和澄清了量子解与经典解之间存在的直接对应的规则.结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用.更多还原

【Abstract】 The exact solution and the invariant Cartan operator of the linear nonautono-mous system with hw(4) dynamical group which discribes the interaction of a quantized radiation field with a time-dependent classical current are obtained by using the method of algebraic dynamics. The solution is expressed in the bases of both harmonic oscillator state and coherent state. The rule for direct quantum-classical correspondence of the solutions has been established. It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.更多还原