标题： 通过辛变换描写的类经典量子动力学描述 显示英文标题

标题： Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography

摘要： 量子力学的动力方程被重新表述为可测量的、正的边缘分布的动力方程，这些分布是所谓“辛变换层析成像”中引入的平移、旋转和压缩的正交分量。然后讨论了作为纯经典描述的量子系统的可能性，以及对量子测量理论的重新解释，并与众所周知的准概率方法进行了比较。此外，在经典概率论的框架下对包含所有量子信息的这种边缘分布的性质进行了分析。最后处理了谐振子状态动力学的例子。 显示英文摘要

摘要： The dynamical equation of quantum mechanics are rewritten in form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated and squeezed quadrature introduced in the so called "symplectic tomography". Then the possibility of a purely classical description of a quantum system as well as a reinterpretation of the quantum measurement theory is discussed and a comparision with the well known quasi-probabilities approach is given. Furthermore, an analysis of the properties of this marginal distribution, which contains all the quantum information, is performed in the framework of classical probability theory. Finally examples of harmonic oscillator's states dynamics are treated.