一维Rindler谐振子广义测不准关系

One-dimensional Rindler oscillator′s generalized uncertainty relation

相对于 Rindler匀加速观测者 ,通常的闵氏真空态可被看做一个热浴 .因此在坐标表象下计算了一维 Rindler谐振子的广义测不准关系 .计算表明 ,在闵氏真空中 ,对于 Rindler匀加速观测者 ,除存在通常的量子扰动外 。

General Minkowski vacuum state is seen to be equivalent to a thermal bath for a Rindler uniformly accelerated observer. This paper calculates one dimensional Rindler oscillator′s generalized uncertainty relation in the coordinate representation. The calculation results show that for a Rindler uniformly accelerated observer there is not only general quantum fluctuation but also thermal fluctuation related to acceleration in the nature.