标题： 非交换空间中广义不确定原理的相干态完备性 显示英文标题

标题： On completeness of coherent states in noncommutative spaces with generalised uncertainty principle

摘要： 相干态需要通过提供恒等式的分解来在希尔伯特空间中形成一组完整的向量。 我们通过找到带有正定权函数的单位分解，研究了非对易空间中两种不同模型的相干态的完备性。 该权函数有时被称为博雷尔测度，它是通过借助逆梅林变换的标准技术，显式求解斯特尔吉斯和豪斯多夫矩问题得到的。 显示英文摘要

摘要： Coherent states are required to form a complete set of vectors in the Hilbert space by providing the resolution of identity. We study the completeness of coherent states for two different models in a noncommutative space associated with the generalised uncertainty relation by finding the resolution of unity with a positive definite weight function. The weight function, which is sometimes known as the Borel measure, is obtained through explicit analytic solutions of the Stieltjes and Hausdorff moment problem with the help of the standard techniques of inverse Mellin transform.