论文标题
量子倒谐波电位
Quantum inverted harmonic potential
论文作者
论文摘要
我们考虑在倒谐势下的非交互气体，并提供无限退化的非平稳性正交状态。我们讨论它在绝对零温度下具有无限的熵。我们表明，由于存在渐近的解决方案，该解决方案是渐近的，该解决方案是渐近的dirac delta函数，因此粒子在倒谐波电位下的位置的不确定性可能为零。我们使用特征态获得了新的自由粒子波数据包，以获得倒谐波电位。它具有独特的自我关注功能，可以用作焦点梁，而无需在使用近似近似的光学系统中。
We consider a non-interacting gas under the inverted harmonic potential and present infinitely degenerate non-stationary orthogonal states. We discuss that it has an infinite entropy at the absolute zero temperature. We show that uncertainty in position of a particle under the inverted harmonic potential can be zero as there exists a solution which asymptotes to a Dirac delta function. We obtain a new free particle wave packet using the eigenstates for the inverted harmonic potential. It has unique self-focusing feature and can be used as focusing beam without a lens in optical systems where paraxial approximation is used.
