论文标题
时间和乐队限制操作员和伯特·安萨兹（Bethe Ansatz）
Time and band limiting operator and Bethe ansatz
论文作者
论文摘要
引入了时间和限制运算符，以优化仅从其光谱的部分部分重建信号的重建。在离散的情况下，该操作员与所谓的代数HEUN操作员通勤，该操作员出现在量子可集成系统的上下文中。召回了操作员的建设和他们的通勤证明。获得光谱之间的直接连接。然后，伯特·安萨兹（Bethe Ansatz）是一种对对角线量子哈密顿量对角线的众所周知的方法，用于对角度化HEUN操作员并获得有关时间和带限制操作员的见解。
The time and band limiting operator is introduced to optimize the reconstruction of a signal from only a partial part of its spectrum. In the discrete case, this operator commutes with the so-called algebraic Heun operator which appears in the context of the quantum integrable systems. The construction of both operators and the proof of their commutativity is recalled. A direct connection between their spectra is obtained. Then, the Bethe ansatz, a well-known method to diagonalize integrable quantum Hamiltonians, is used to diagonalize the Heun operator and to obtain insights on the spectrum of the time and band limiting operator.
