论文标题

长度最小的空间中的精确连续性方程

Exact continuity equation in a space with minimal length

论文作者

Laba, H. P., Tkachuk, V. M.

论文摘要

我们在具有任意变形代数的空间中得出了连续性方程和精确表达,导致长度最小。在坐标表示中,流动概率密度表示为无限序列,而在动量表示中,可以将其施放为由变形动能确定的精确闭合形式。对于平面波和两个平面波的叠加明确计算流量密度。

We derive continuity equation and exact expression for flow probability density in a space with arbitrary deformed algebra leading to minimal length. In coordinate representation the flow probability density is presented as infinite series over parameter of deformation which in momentum representation can be casted into exact closed form determined by deformed kinetic energy. The flow probability density is calculated explicitly for plane wave and for superposition of two plane waves.

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