Classical-like description of quantum dynamics by means of symplectic tomography
Classical-like description of quantum dynamics by means of symplectic tomography
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DOI：
10.1007/bf02550342
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发表时间：
1997-06-01
影响因子：
1.5
通讯作者：
Tombesi, P
中科院分区：
文献类型：
--
作者：
Mancini, S;Manko, VI;Tombesi, P
量子力学的动力学方程被重写为可测量的、在所谓的“辛层析成像”中引入的平移、旋转和压缩正交的正边际分布的动力学方程。然后讨论了量子系统的纯经典描述以及量子测量理论的重新解释的可能性，并给出了与众所周知的准概率方法的比较。此外，在经典概率论的框架中对包含所有量子信息的边缘分布的属性进行了分析。最后，讨论了谐振子状态动力学的例子。
The dynamical equations of quantum mechanics are rewritten in the 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 comparison 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 the harmonic oscillator's states dynamics are treated.