标题： 旋转和缩放质心断层扫描用于多个粒子 显示英文标题

标题： Rotated and scaled center of mass tomography for several particles

摘要： 该系统量子态的断层图，其依赖于一个随机变量，类似于相空间中旋转和缩放参考系中的质心，被构建出来。 此图的汤姆ограм的时间演化方程以显式形式给出。 如不同状态之间的转移概率以及与星积形式主义的关系等图的性质得到了阐明。 详细考虑了多模振子的例子。 在所提出的断层图方案框架内讨论了相对于相同粒子排列的对称性特性。 显示英文摘要

摘要： The tomographic map of quantum state of a system with several degrees of freedom which depends on one random variable, analogous to center of mass considered in rotated and scaled reference frame in the phase space, is constructed. Time evolution equation of the tomogram for this map is given in explicit form. Properties of the map like the transition probabilities between the different states and relation to the star product formalism are elucidated. Example of multimode oscillator is considered in details. Symmetry properties in respect to identical particles permutations are discussed in the framework of proposed tomography scheme.