In this paper, we present the annihilation and creation operators for a moving scalar massive particle on 1 + 1-de Sitter space. This presentation is based on coherent states method and Hall-Mitchell approach about annihilation operator for a system which its phase space is \( S_{\mathcal {C}}^{n} \). We show that these operators coincide with the Ladder operators for a quantum particle on circle which was presented by Kowalski-Rembielinski-Papaloucas (both cases have the same phase spaces).

中文翻译：

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1+1-de Sitter 空间上的梯形算子

在本文中，我们提出了 1 + 1-de Sitter 空间上移动的标量质量粒子的湮灭和创造算子。本演示基于相空间为\( S_{\mathcal {C}}^{n} \)的系统的相干状态方法和关于湮灭算子的 Hall-Mitchell 方法。我们证明这些算符与 Kowalski-Rembielinski-Papaloucas 提出的圆上量子粒子的梯形算符一致（两种情况具有相同的相空间）。