四元数背景下的压缩态
Squeezed states in the quaternionic setting
摘要：
利用定义在右四元数希尔伯特空间上的左乘法，我们将证明纯压缩态可以定义在右四元数希尔伯特空间上，具有所有期望的性质。此外，我们还将证明压缩态可以定义在同一希尔伯特空间上，但四元数的非交换性阻止我们得到所需的结果。然而，我们将表明，如果一旦考虑四元数切片的方法，那么所需的性质可以得到四元数压缩态。
英文摘要：
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that pure squeezed states can be defined with all the desired properties on a right quaternionic Hilbert space. Further, we shall also demonstrate squeezed states can be defined on the same Hilbert space, but the noncommutativity of quaternions prevent us in getting the desired results. However, we will show that if once considers the quaternionic slice wise approach, then the desired properties can be obtained for quaternionic squeezed states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
