论文标题
部分可观测时空混沌系统的无模型预测
Classical and quantum harmonic oscillators subject to a time dependent force
论文作者
论文摘要
在这项工作中，我们解决了一个简单的谐波振荡器的量化问题，该问题受到时间依赖力的干扰。该方法包括通过坐标的规范变化消除扰动。由于量化程序使用经典的汉密尔顿形式主义作为凝视点，因此变量的变化是使用规范转换进行的，并且为了在量化系统之间进行转换，规范转换被实现为统一转换，映射了彼此的扰动和不受干扰的系统的状态。
In this work we address the problem of the quantization of a simple harmonic oscillator that is perturbed by a time dependent force. The approach consists of removing the perturbation by a canonical change of coordinates. Since the quantization procedure uses the classical Hamiltonian formalism as staring point, the change of variables is carried out using canonical transformations, and to transform between the quantized systems the canonical transformation is implemented as a unitary transformation mapping the states of the perturbed and unperturbed system onto each other.
