论文标题
量子动力学的非线性描述。广义相干国家
Nonlinear Description of Quantum Dynamics. Generalized Coherent States
论文作者
论文摘要
在这项工作中，表明在所谓的广义相干状态的动力学中存在固有的非线性进化。为了证明这一点，采用了经典的歧管浸入量子力学的希尔伯特空间中。然后，可以通过经典歧管中参数的变化来参数波函数的时间依赖性。因此，沉浸式允许考虑类比的所谓原则，即使用经典环境中可用的程序和结构来利用它们在量子框架中。
In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. To show this, the immersion of a classical manifold into the Hilbert space of quantum mechanics is employed. Then one may parametrize the time-dependence of the wave function through the variation of parameters in the classical manifold. Therefore, the immersion allows to consider the so-called principle of analogy, i.e. using the procedures and structures available from the classical setting to employ them in the quantum framework.
