The investigation of quantum-classical correspondence may lead to gain a deeper understanding of the classical limit of quantum theory. We develop a quantum formalism on the basis of a linear-invariant theorem, which gives an exact quantum-classical correspondence for damped oscillatory systems that are perturbed by an arbitrary force. Within our formalism, the quantum trajectory and expectation values of quantum observables are precisely coincide with their classical counterparts in the case where we remove the global quantum constant h from their quantum results. In particular, we illustrate the correspondence of the quantum energy with the classical one in detail.

中文翻译：

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阻尼驱动振荡系统的量子力学经典极限：量子经典对应

对量子-经典对应关系的研究可能会导致对量子理论的经典极限有更深入的了解。我们在线性不变定理的基础上发展了量子形式论，该定理为受任意力扰动的阻尼振荡系统提供了精确的量子经典关系。在我们的形式主义中，在我们从其量子结果中删除全局量子常数h的情况下，量子可观察物的量子轨迹和期望值与它们的经典对应物完全一致。特别是，我们详细说明了量子能与经典能的对应关系。