Standard quantum mechanics featuring probabilities instead of wave functions

Manko VI; Manko OV

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Standard quantum mechanics featuring probabilities instead of wave functions

机译：标准量子力学以概率而非波函数为特征

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A new formulation of quantum mechanics (probability representation) is discussed. In this representation, a quantum state is described by a standard positive definite probability distribution (tomogram) rather than by a wave function. An unambiguous relation (analog of Radon transformation) between the density operator and a tomogram is constructed both for continuous coordinates and for spin variables. A novel feature of a state, tomographic entropy, is considered, and its connection with von Neumann entropy is discussed. A one-to-one map of quantum observables (Hermitian operators) on positive probability distributions is found.

机译：讨论了一种新的量子力学表述（概率表示）。在此表示中，量子状态是通过标准的正定概率分布（断层图）而不是波函数来描述的。对于连续坐标和自旋变量，都构造了密度算符和X线断层图之间的明确关系（Radon变换的类似物）。考虑了一种新的状态特征，即层析成像熵，并讨论了它与冯·诺依曼熵的关系。找到了在正概率分布上的量子可观察物（厄密算子）的一对一映射。

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来源
《Physics of atomic nuclei》 |2006年第6期|共5页
作者
Manko VI; Manko OV;
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原文格式 PDF
正文语种 eng
中图分类原子物理学;
关键词
TOMOGRAPHY; REPRESENTATION; STATES; SPIN; SOLITONS;

机译：层析成像;表示法;状态;自旋;孤子;

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1. Standard quantum mechanics featuring probabilities instead of wave functions [J] . Manko VI, Manko OV Physics of atomic nuclei . 2006,第6期

机译：标准量子力学以概率而非波函数为特征
2. Quantum Mechanics Based on Probability Wave Functions Induced by the Minimum Mean Deviation from Statistical Equilibrium. II [J] . Silviu Guiasu International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 1998,第3期

机译：基于概率波函数的量子力学，该概率波函数是由统计均值的最小均值偏差引起的。 II
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机译：量子力学与信号处理理论中的联合表征：为什么不允许时间和频率的概率函数

Standard quantum mechanics featuring probabilities instead of wave functions

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