广义测不准关系对无限深势阱问题的影响

Generalized Uncertainty Principle and its Effect on Square Well

考虑了广义测不准原理,并重新计算无限深势阱问题,得到能量本征值。结果表明,此时的能量本征值除了包含通常的En=h2π2n2蛐2ma2以外,还包含能量修正项。而且能量本征值修正项只与参数α有关,与其它的参数没有关系。

In this paper we considered the generalized uncertainty principle and recalculated the infinite potential square well to obtain the energy eigenvalue.It shows that the energy eigenvalue is different from the usual result En = h2π2n2 / 2ma2 because of the existence of some correction terms.Moreover,the correction terms are only relevant to the parameter α.