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A New Procedure to Understanding Formulas of Generalized Quantum Mean Values for a Composite A + B

机译:一种理解复合A + B广义量子均值公式的新方法

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Herein is presented a research concerning to the calculation of quantum meanvalues, for a composite A + B, by using different formulas to expressions in BoltzmannGibbs-Shannon’s statistics. It is analyzed why matrix formulas with matrices EA and EB, inHilbert subspaces, produce identical results to full Hilbert space formulas. In accord to formerinvestigations, those matrices are the true density matrices, inside third version of nonextensivestatistical mechanics. Those investigations were obtained by calculating the thermodynamicalparameters of magnetization and internal energy for magnetic materials. This publication showsthat it is not necessary postulate the mean value formulas in Hilbert subspaces, but theycan be formally derived from full Hilbert space, taking into consideration the very statisticalindependence concept.
机译:本文介绍了一项有关通过使用BoltzmannGibbs-Shannon统计中的不同公式来计算复合A + B的量子均值的研究。分析了为什么在希尔伯特子空间中具有矩阵EA和EB的矩阵公式会产生与完整希尔伯特空间公式相同的结果。根据以前的研究,这些矩阵是真实密度矩阵,位于第三版非广义统计力学中。这些研究是通过计算磁性材料的磁化热能参数和内部能量而获得的。该出版物表明,没有必要在希尔伯特子空间中假设平均值公式,但可以考虑到非常统计独立性的概念,从整个希尔伯特空间正式推导它们。

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