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arXiv 1106.3757math-phmath.MPquant-ph
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非相对论性量子力学中的不稳定粒子？

Unstable particles in non-relativistic quantum mechanics?

H. Hernandez-Coronado

备注：
Prepared for the proceedings of VIII DGFM-SMF Workshop
发表信息：
AIP Conf. Proc. October 14, 2011 Volume 1396, pp. 145-150 VIII Workshop of the Gravitation and Mathematical Physics Division of the Mexican Physical Society
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摘要：

薛定谔方程在Galilei群下是直到a相位不变的。这个阶段导致了巴格曼超选择规则，它禁止了不同质量的叠加态的存在，并意味着不稳定的粒子不能在非相对论性量子力学中一致地描述。在本文中，我们声称，巴格曼规则忽略了物理效应和非相对论性量子力学的正确描述，需要考虑到这一阶段通过扩展伽利略群和定义其作用在时空坐标。

英文摘要：

The Schroedinger equation is up-to-a-phase invariant under the Galilei group. This phase leads to the Bargmann's superselection rule, which forbids the existence of the superposition of states with different masses and implies that unstable particles cannot be described consistently in non-relativistic quantum mechanics. In this paper we claim that Bargmann's rule neglects physical effects and that a proper description of non-relativistic quantum mechanics requires to take into account this phase through the Extended Galilei group and the definition of its action on spacetime coordinates.

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