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arXiv quant-ph/0112049quant-phcond-mat.stat-mechmath-phmath.MP
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量子力学的统计起源

Statistical Origin of Quantum Mechanics

G. Kaniadakis

备注：
Accepted for publication in Physica A
发表信息：
Physica A 307, 172 (2002)
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摘要：

在相空间中的N体经典动力学框架下研究单粒子量子力学。在这个框架下，量子粒子的亚量子结构的设想自然出现，为正统的量子力学提供了本体论支持。这种量子力学的方法，构成了一种演绎的和直接的方法，在经典动力学的自洽方案中，允许我们：i）获得量子描述的概率性质，并根据哥本哈根学派解释波函数$ψ$; ii）导出量子势，然后导出薛定谔方程; iii）计算物理观测值作为相关量子算符的平均值; iv）获得海森堡不确定原理。

英文摘要：

The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent scheme of a classical kinetics, allows us: i) to obtain the probabilistic nature of the quantum description and to interpret the wave function $ψ$ according to the Copenhagen school; ii) to derive the quantum potential and then the Schrödinger equation; iii) to calculate the values of the physical observables as mean values of the associated quantum operators; iv) to obtain the Heisenberg uncertainty principle.

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