论文标题

关于通过超对称算法的全面光谱的非热汉尔顿人的构建

On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms

论文作者

Zelaya, Kevin, Cruz, Sara Cruz y, Rosas-Ortiz, Oscar

论文摘要

通过超对称算法配对两个不同的量子系统的能光谱。其中一个系统是Hermitian,另一个系统的特征是复杂的价值潜力,两者均仅在其频谱中具有真实的特征值。连接这些系统的超电势是复杂的值,由Ermakov方程的解决方案进行了参数化,并且可以以非线性形式或作为正确选择的复合物值函数的对数导数表示。可以构建非热系统的系统是平价时间对称或非统一时间对称。

The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued potential, both of them with only real eigenvalues in their spectrum. The superpotential that links these systems is complex-valued, parameterized by the solutions of the Ermakov equation, and may be expressed either in nonlinear form or as the logarithmic derivative of a properly chosen complex-valued function. The non-Hermitian systems can be constructed to be either parity-time-symmetric or non-parity-time-symmetric.

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