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广义测不准关系对无限深势阱问题的影响
  • 时间：0
  • 分类：O411.1[理学—理论物理;理学—物理]
  • 作者机构：[1]山西大同大学物理与电子科学学院,山西大同037009
  • 相关基金：国家自然科学基金理论物理专项[11247261];国家自然科学基金项目[11075098,11175109];山西大同大学博士科研启动经费[2011-B-03]
作者： 马孟森[1], 李怀繁[1], 赵惠华[1]
关键词： 广义测不准关系, 无限深势阱, generalized uncertainty principle, infinite potential square well
中文摘要：

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。

英文摘要：

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.

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