复合量子科里奥利力
Composite quantum Coriolis forces
摘要：
经典的科里奥利力在差$Σ(t)=H(t)-G(t)$中找到它的量子类似物，其中“真实”的、可观察的哈密顿量$H(t)$代表瞬时能量。另一个是“假”哈密顿量$G(t)$，它产生波函数的时间演化。只要有$Σ(t)\neq 0$，量子力学就获得了相互作用图像的形式。然后，每个可观测量的时间演化由科里奥利算子$Σ(t)$（{ \it alias}"Heisenberg“Hamiltonian）本身产生。在本文中，$Σ(t)$的替代公式的序列推导出的假设下，一个$N-$长期因式分解的戴森映射算子$Ω(t)$（定义为转换一个预选准厄米特$H(t)$到其传统的自伴化身）。它表明，在由此产生的创新形式主义称为“因式分解为基础的非厄米互动图片”（FNIP）之间的选择$N+1$替代形式的量子动力学的描述，其中之一可能证明，为底层的量子系统，最佳的。为了说明，“错误的符号”的非谐振子模型被召回。
英文摘要：
The classical Coriolis force finds its quantum analogue in the difference $Σ(t)=H(t)-G(t)$ where the ``true'', observable Hamiltonian $H(t)$ represents the instantaneous energy. The other, ``false'' Hamiltonian $G(t)$ generates the time-evolution of wave functions. Whenever $Σ(t)\neq 0$, quantum mechanics acquires an interaction-picture form. Then, the time-evolution of every observable is generated by the Coriolis operator $Σ(t)$ ({\it alias} ``Heisenberg'' Hamiltonian) itself. In the paper a sequence of alternative formulae for $Σ(t)$ is derived under the assumption of an $N-$term factorization of the Dyson-map operator $Ω(t)$ (defined as converting a preselected quasi-Hermitian $H(t)$ into its conventional self-adjoint avatar). It is shown that in the resulting innovative formalism called ``factorization-based non-Hermitian interaction picture'' (FNIP) one has a choice between $N+1$ alternative forms of the description of quantum dynamics, one of which may prove, for the underlying quantum system, optimal. For illustration, the ``wrong-sign'' anharmonic oscillator model is recalled.
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