论文标题
$ q $ euclidean Space上的非依赖性的单粒子问题
Nonrelativistic one-particle problem on $q$-deformed Euclidean space
论文作者
论文摘要
我们考虑了三维$ q $ demformed的欧几里得空间上的自由非层次粒子的时间依赖性schrödinger方程。我们确定了这些schrödinger方程的平面波解，并表明它们形成了一个完整的正统系统。我们为非层次粒子的传播器得出了$ q $的表达式。关于非同性粒子的位置或动量期望值的考虑因素总结了我们的研究。
We consider time-dependent Schrödinger equations for a free nonrelativistic particle on the three-dimensional $q$-deformed Euclidean space. We determine plane wave solutions to these Schrödinger equations and show that they form a complete orthonormal system. We derive $q$-deformed expressions for propagators of a nonrelativistic particle. Considerations about expectation values for position or momentum of a nonrelativistic particle conclude our studies.
