Metric space formulation of quantum mechanical conservation laws

P. M. Sharp; I.DAmico

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Metric space formulation of quantum mechanical conservation laws

机译：量子力学守恒律的度量空间表述

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摘要

We show that conservation laws in quantum mechanics naturally lead to metric spaces for the set of related physical quantities. All such metric spaces have an "onion-shell" geometry. We demonstrate the power of this approach by considering many-body systems immersed in a magnetic field, with a finite ground state current. In the associated metric spaces we find regions of allowed and forbidden distances, a "band structure" in metric space directly arising from the conservation of the z component of the angular momentum.

机译：我们表明，量子力学中的守恒定律自然会导致一组相关物理量的度量空间。所有此类度量空间均具有“洋葱壳”几何形状。我们通过考虑浸入磁场中的多体系统以及有限的基态电流来证明这种方法的强大功能。在关联的度量空间中，我们找到了允许和禁止的距离区域，度量空间中的“带结构”直接源自角动量z分量的守恒。

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来源
《Physical review》 |2014年第11期|115137.1-115137.5|共5页
作者
P. M. Sharp; I.DAmico;
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作者单位

Department of Physics, University of York, York YO10 5DD, United Kingdom;

Department of Physics, University of York, York YO10 5DD, United Kingdom;

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原文格式 PDF
正文语种 eng
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关键词
foundations of quantum mechanics; measurement theory; density functional theory, local density approximation, gradient and other corrections; nanoelectronic devices;

机译：量子力学的基础;测量理论密度泛函理论;局部密度近似;梯度和其他校正;纳米电子器件;

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Metric space formulation of quantum mechanical conservation laws

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