标题： $\mathcal{PT}$-对称性粒子混合理论和运动方程矩阵 显示英文标题

标题： $\mathcal{PT}$-symmetry of Particle mixing theories and the equation of motion matrix

摘要： 从其$\mc{PT}$对称性方面考虑了一个非厄米特的复标量场模型。 从运动方程的欧拉-拉格朗日方程构造的矩阵被用来分析该模型的状态。 该模型有两个质量项，它们决定了本征值的真实或复数性质。 在场的拉格朗日运动方程中发现不一致，因为方程在对其中一个进行复共轭后与另一个不一致。 这是通过利用拉格朗日量的一个优选相似变换来解决的。 即使在哈密顿量层面，一旦考虑了相似变换后的哈密顿量，这种差异也被发现消失了。 显示英文摘要

摘要： A non-Hermitian complex scalar field model is considered from its $\mc{PT}$ symmetric aspect. A matrix constructed from the Euler-Lagrange equations of motion is utilized to analyze the states of the model. The model has two mass terms which determine the real or complex nature of the eigen values. A mismatch is found in the Lagrange equations of motion of the fields as the equations do not agree with the other after complex conjugation of the either. This is resolved by exploiting a preferred similarity transformation of the Lagrangian. The discrepancy even at the Hamiltonian level is found to have vanished once we consider the similarity transformed Hamiltonian.