论文标题
量子不稳定性
Quantum Instability
论文作者
论文摘要
许多封闭的保守系统的物理学可以通过古典和量子理论来描述。根据经典理论的动力学是符合性的，并且接受线性不稳定性，最初似乎与统一的量子描述不符。使用三波相互作用的示例，我们描述了与时间无关的，有限的量子量子系统（具有所有真实特征值的隐居者）如何产生与经典系统中相对应的线性不稳定性。我们表明，在量子理论中，不稳定是在职业数量状态下的波函数的级联反应，而不稳定的量子系统的频谱比稳定的量子系统更丰富，复发时间更长。描述了量子不稳定性的条件。
The physics of many closed, conservative systems can be described by both classical and quantum theories. The dynamics according to classical theory is symplectic and admits linear instabilities which would initially seem at odds with a unitary quantum description. Using the example of three-wave interactions, we describe how a time-independent, finite-dimensional quantum system, which is Hermitian with all real eigenvalues, can give rise to a linear instability corresponding to that in the classical system. We show that the instability is realized in the quantum theory as a cascade of the wave function in the space of occupation number states, and an unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system. The conditions for quantum instability are described.
