广义薛定谔图像中的相对论振子模型
Model of a relativistic oscillator in a generalized Schrödinger picture
摘要：
在广义薛定谔图像中，我们考虑相对论性粒子在外场中的运动（就像谐振子的情况一样）。在这幅图中，粒子的薛定谔算符的类似物与时间和空间坐标都无关。这些算子导出了与AdS空间的Killing向量相关的算子。我们还考虑了非相对论极限。
英文摘要：
In a generalized Schrödinger picture, we consider the motion of a relativistic particle in an external field (like in the case of a harmonic oscillator). In this picture the analogs of the Schrödinger operators of the particle are independent of both the time and the space coordinates. These operators induce operators which are related to Killing vectors of the Anti de Sitter (AdS) space. We also consider the nonrelativistic limit.
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