用P $\neq$ P $^\dagger$加强PT对称性
Strengthened PT-symmetry with P $\neq$ P$^\dagger$
摘要：
在量子力学中，用非厄米$PT-$对称形式的可观测量来工作，有两种可能的情况。通常，人们假设$P$是Hilbert空间中的自伴不定度量（并且他们的$P-$伪厄米哈密顿量$H$具有实谱等），我们建议将约束$P=P^\dagger$放松为冗余的.出于说明的目的，选择耦合方阱的非厄米三重态。构造了它的解，并且观察到的谱简并归因于模型$H$的特征非平凡对称性$S={P}^{-1} {P}^\dagger \neq I$。由于模型的可解性，确定能量保持真实的域是简单的。对该模型的正确（尽管模棱两可）物理解释的几点意见被添加。
英文摘要：
Two alternative scenarios are shown possible in Quantum Mechanics working with non-Hermitian $PT-$symmetric form of observables. While, usually, people assume that $P$ is a self-adjoint indefinite metric in Hilbert space (and that their $P-$pseudo-Hermitian Hamiltonians $H$ possess the real spectra etc), we propose to relax the constraint $P=P^\dagger$ as redundant. Non-Hermitian triplet of coupled square wells is chosen for illustration purposes. Its solutions are constructed and the observed degeneracy of their spectrum is attributed to the characteristic nontrivial symmetry $S={P}^{-1} {P}^\dagger \neq I$ of the model $H$. Due to the solvability of the model the determination of the domain where the energies remain real is straightforward. A few remarks on the correct (albeit ambiguous) physical interpretation of the model are added.
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