有限维Hilbert空间中的Radon变换
Radon Transform in Finite Dimensional Hilbert Space
摘要：
有限维希尔伯特空间的新分析概述。该方法绕过了一般的，固有的，在有限维问题中处理角度变量存在的困难：有限维，d，希尔伯特空间运营商的基础上与有限的几何提供直观的角度的物理运营商。分析强调了相互无偏基地（MUB）的国家，从而扩大其使用有限维量子力学研究投影仪的核心作用。希尔伯特空间运营商之间的相互关系，通过其（有限）的对偶仿射平面几何（DAPG）的支撑显示和利用制定的有限维无处不在的氡变换及其逆说明相空间物理编码的几何形状的线和点。我们的研究所需的有限的几何轮廓。
英文摘要：
Novel analysis of finite dimensional Hilbert space is outlined. The approach bypasses general, inherent, difficulties present in handling angular variables in finite dimensional problems: The finite dimensional, d, Hilbert space operators are underpinned with finite geometry which provide intuitive perspective to the physical operators. The analysis emphasizes a central role for projectors of mutual unbiased bases (MUB) states, extending thereby their use in finite dimensional quantum mechanics studies. Interrelation among the Hilbert space operators revealed via their (finite) dual affine plane geometry (DAPG) underpinning are displayed and utilized in formulating the finite dimensional ubiquitous Radon transformation and its inverse illustrating phase space-like physics encoded in lines and points of the geometry. The finite geometry required for our study is outlined.
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。
