论文标题
量子理论的混合形式与非热汉密尔顿人
Hybrid form of quantum theory with non-Hermitian Hamiltonians
论文作者
论文摘要
在1956年，弗里曼·戴森（Freeman Dyson）发现，当一个人取代标准的自我偶和汉密尔顿$ \ mathfrak {h} = \ mathfrak {h}^\ dagger $时，可以促进schrödinger方程的实际解决方案，以表现出其明显的非高度avatar avatar avatar $ h = $ h = 1} $ω^\DaggerΩ=θ\ neq i $。然后，可以通过$ \ mathfrak {h} $重建``操作员转换''（OT）重建进化的标准单一解释，或者是通过公制点（MA）更改Hilbert Space的变化，$ {\ Cal H} _ {Auxiliary} _}在我们的信中，我们描述了``混合形式''（HF）的替代隐士化，该馆只是将OT模型构建策略与MA模型建设策略相结合。使用示意性的两态量子系统说明了该方法的优点。
In 1956, Freeman Dyson discovered that the practical solution of Schrödinger equation may be facilitated when one replaces the standard self-adjoint Hamiltonian $\mathfrak{h}=\mathfrak{h}^\dagger$ by its manifestly non-Hermitian isospectral avatar $H =Ω^{-1} \mathfrak{h} Ω$ with $Ω^\daggerΩ=Θ\neq I$. The standard unitary interpretation of the evolution can be then achieved either by the ``operator transformation'' (OT) reconstruction of $\mathfrak{h}$, or via a metric-amendment (MA) change of the Hilbert space, ${\cal H}_{auxiliary}\to {\cal H}_{physical}$. In our present letter we describe an alternative Hermitization of a ``hybrid form'' (HF) which simply combines the OT model-building strategy with the MA model-building strategy. The merits of the approach are illustrated using a schematic two-state quantum system.
