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arXiv 1001.2683quant-ph
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量子物理学基础

On foundations of quantum physics

Evgeni A. Solov'ev

摘要:

讨论了量子理论解释的某些方面。强调量子理论是在笛卡尔坐标系中表述的;在其他坐标系中,借助哈密顿形式主义和“正则共轭”坐标和动量算符之间的换位子关系得到的结果导致量子力学的错误版本。以原子碰撞理论为例,详细分析了时间的起源。结果表明,对于三体(两核+电子)封闭系统,含时薛定谔方程没有物理意义,因为在高碰撞能量极限下,它变成了一个具有两个独立的类时变量的方程;时间出现在稳态薛定谔方程中,是从封闭三体系统中抽取经典子系统(两核)的结果。根据爱因斯坦-罗森-波多尔斯基实验和贝尔不等式,波函数被解释为一个基本形式的实际信息场。讨论了物理学与数学的关系。

英文摘要:

Some aspects of the interpretation of quantum theory are discussed. It is emphasized that quantum theory is formulated in the Cartesian coordinate system; in other coordinates the result obtained with the help of the Hamiltonian formalism and commutator relations between 'canonically conjugated' coordinate and momentum operators leads to a wrong version of quantum mechanics. The origin of time is analyzed in detail by the example of atomic collision theory. It is shown that for a closed system like the three-body (two nuclei + electron) time-dependent Schroedinger equation has no physical meaning since in the high impact energy limit it transforms into an equation with two independent time-like variables; the time appears in the stationary Schroedinger equation as a result of extraction of a classical subsystem (two nuclei) from a closed three-body system. Following the Einstein-Rozen-Podolsky experiment and Bell's inequality the wave function is interpreted as an actual field of information in the elementary form. The relation between physics and mathematics is also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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