Position dependent effective mass and pseudo-hermetic generator in Hamiltonians with PT symmetry

The $η$-pseudo-hermitic generator in the deformed Woods Saxons potential

In this paper, we present a general method to solve non-hermetic potentials with PT symmetry using the definition of two $η$-pseudo-hermetic and first-order operators. This generator applies to the Dirac equation which consists of two spinor wave functions and non-hermetic potentials, with position that mass is considered a constant value and also Hamiltonian hierarchy method and the shape invariance property are used to perform calculations. Furthermore, we show the correlation between the potential parameters with transmission probabilities that $η$-pseudo-hermetic using the change of focal …

$η$ -弱赝厄米性生成元与精确可解性

$η$-weak-Pseudo-Hermiticity generators and exact solvability

作为$η$ -弱伪厄米性生成元的副产品，研究了某些非厄米性$η$ -弱伪厄米性哈密顿量的精确可解性.考虑一类V_{eff}（x）=V（x）+iW（x）势，其中虚部W（x）作为$η$ -弱伪厄米性生成元，得到了精确可解的$η$ -弱伪厄米性哈密顿模型.

具有位置相关质量的d维非厄米哈密顿算符及其$η$ -伪厄米性生成元

Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $η$-pseudo-Hermiticity generators

提出了一类具有位置相关质量的非厄米d维Hamilton系统及其$η$ -伪厄米性生成元.针对不同的位置相关质量设置，在1D、2D和3D中给出了说明性示例。

具有位置相关质量的一阶纠缠算子和$η$ -弱赝厄米性生成元

First-order intertwining operators with position dependent mass and $η$- weak-psuedo-Hermiticity generators

引入一个厄米和一个反厄米一阶纠缠算符，构造了一类$η$ -弱伪厄米位置相关质量（PDM）哈密顿量.提出了相应的参考-靶$η$ -弱赝厄米PDM-Hamilton映射。一些$η$ -弱伪厄米特PT -对称Scarf II模型和Escherichia-型模型被用作说明性例子。能级交叉和流走状态的现象报告所产生的Scarf II光谱。给出了相应的$η$ -弱伪Hermitian Scarf II-和P_1-型等谱模型（PT -对称和非PT-对称）作为参考-目标映射的乘积。

$η$ -弱赝厄米性生成元和径向对称哈密顿量

$η$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians

给出了一类球对称非厄米Hamilton算子及其η-弱伪厄米性生成元.一个运营商为基础的程序，使一维薛定谔哈密顿量的结果可以很好地再现。提出了超越无节点状态的推广。我们的示例包括非厄米特弱微扰一维和径向振子、非厄米特微扰径向库仑和非厄米特径向Morse模型的η-弱伪厄米性生成元。

Pseudo Quantum Random Number Generator with Quantum Permutation Pad

Cryptographic random number generation is critical for any quantum safe encryption. Based on the natural uncertainty of some quantum processes, variety of quantum random number generators or QRNGs have been created with physical quantum processes. They generally generate random numbers with good unpredictable randomness. Of course, physical QRNGs are costic and require physical integrations with computing systems. This paper proposes a pseudo quantum random number generator with a quantum algorithm called quantum permutation pad or QPP, leveraging the high entropy of quantum permutation space …