标题： (d+1)维相对论旋转振子的几何模型 显示英文标题

标题： Geometric models of (d+1)-dimensional relativistic rotating oscillators

摘要： 在任意维度中，量子相对论旋转振荡器的几何模型定义在具有变形反德西特度规的背景上。 已经证明这些模型是解析可解的，推导出了能级和相应归一化能量本征函数的公式。 一个重要特性是，所有这些模型都有相同的非相对论极限，即通常的简谐振子。 显示英文摘要

摘要： Geometric models of quantum relativistic rotating oscillators in arbitrary dimensions are defined on backgrounds with deformed anti-de Sitter metrics. It is shown that these models are analytically solvable, deriving the formulas of the energy levels and corresponding normalized energy eigenfunctions. An important property is that all these models have the same nonrelativistic limit, namely the usual harmonic oscillator.