Brazilian Journal of Physics ( IF 1.6 ) Pub Date : 2021-04-20 , DOI: 10.1007/s13538-021-00908-5 Swapan Mandal , Monojit Kora , Dolan Krishna Bayen , Kartick Chandra Saha
The exact analytical solution for a classical oscillator with time-dependent frequency is explored. We establish that the closed form solution for such an oscillator is possible provided the frequency is complex and obeying some stringent conditions. The complex nature of the frequency very often occurs in several physical problems. Therefore, the present model calculations are of relevant in fundamental and in practical situations. The solution of the classical oscillator of time-dependent complex frequency is used to obtain the solution of its quantum mechanical counterpart. The possibilities of getting the squeezed states and the nonclassical properties of the initial coherent radiation field coupled to the oscillator are discussed.
中文翻译:
时变复杂频率的古典和量子振荡器的精确可解模型:相干场的压缩特性
探索了具有时变频率的经典振荡器的精确解析解。我们建立了这样一种振荡器的封闭形式的解决方案是可行的,只要其频率复杂且遵守一些严格的条件即可。频率的复杂性经常发生在几个物理问题中。因此,目前的模型计算在基本情况和实际情况中都具有重要意义。使用时变复数频率的经典振荡器的解来获得其量子力学对应物的解。讨论了获得压缩状态的可能性以及耦合到振荡器的初始相干辐射场的非经典特性。