论文标题

盒子中量子机械粒子动量的新概念

A New Concept for the Momentum of a Quantum Mechanical Particle in a Box

论文作者

Al-Hashimi, M. H., Wiese, U. -J.

论文摘要

对于盒子中的粒子,操作员$ - i \ partial_x $不是Hermitean。我们提供了动量运算符$ p = p_r + i p_i $的替代结构,该$ p_i $具有冬粒零件$ p_r $,可以扩展到自偶会运算符,以及一个反弱的组件$ i p_i $。这导致对严格限于盒子内部的粒子上执行的动量测量的描述。

For a particle in a box, the operator $- i \partial_x$ is not Hermitean. We provide an alternative construction of a momentum operator $p = p_R + i p_I$, which has a Hermitean component $p_R$ that can be extended to a self-adjoint operator, as well as an anti-Hermitean component $i p_I$. This leads to a description of momentum measurements performed on a particle that is strictly limited to the interior of a box.

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