论文标题
弹跳波数据包，ehrenfest定理和基于盒子中粒子动量的新概念的不确定性关系
Bouncing Wave Packets, Ehrenfest Theorem, and Uncertainty Relation based upon a new Concept for the Momentum of a Particle in a Box
论文作者
论文摘要
对于盒子中的粒子，操作员$ -i \ partial_x $不是自我偶数，因此不符合物理动量的资格。结果，总体而言，Ehrenfest定理违反了。基于最近开发的自我伴侣动量操作员的新概念，我们重新考虑了定理，发现现在确实满足了所有物理上可接受的边界条件。我们说明了这些结果，这些结果首先传播，然后收缩并在一定的复兴时间后返回其原始形式。我们得出了一种非常简单的海森伯格 - 罗伯特森 - 史克·辛格丁（Heisenberg-Robertson-Schrödinger）不确定性关系的形式，并表明我们的构建也为其提供了物理解释。
For a particle in a box, the operator $-i\partial_x$ is not self-adjoint and thus does not qualify as the physical momentum. As a result, in general the Ehrenfest theorem is violated. Based upon a recently developed new concept for a self-adjoint momentum operator, we reconsider the theorem and find that it is now indeed satisfied for all physically admissible boundary conditions. We illustrate these results for bouncing wave packets which first spread, then shrink, and return to their original form after a certain revival time. We derive a very simple form of the general Heisenberg-Robertson-Schrödinger uncertainty relation and show that our construction also provides a physical interpretation for it.
