论文标题
阻尼驱动振荡系统的量子力学的经典限制：量子古典通信
Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence
论文作者
论文摘要
量子古典对应关系的研究可能会导致对量子理论的经典限制有更深入的了解。我们基于线性不变定理开发量子形式主义，该定理为阻尼的振荡系统提供了精确的量子古典对应关系，该振荡系统受到任意力的扰动。在我们的形式主义中，如果我们从量子结果中删除全局量子常数h，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量的对应关系。
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.
