在准1维分子晶格模型中的量子孤波

Quantum Solitary Wave in a Quasi-One-Dimensional Molecular Crystal Model

通过使用数态方法和准离散多标度方法,研究了准1维分子晶格模型中的量子孤波解,表明在这种模型中,不仅存在运动的量子孤波,也存在静态的量子孤波(即量子内禀局域模).利用所获得的量子孤波解,进一步研究了量子孤波的能级,得知量子孤波的能量是量子化的,这种非线性的量子化特性,可能导致在这种材料中观察到像量子化的热输运等奇妙的量子化现象.

By using the number state method and the simplified method of quasidiscreteness multiple scales,the authors have studied quantum solitary wave solutions in a quasi-one-dimensional molecular crystal model. In this model, there are both traveling and stationary quantum solitary waves. With the help of the obtained quantum solitary wave solution, the energy levels of the quantum solitary wave have been investigated further. It is shown that the energy of the quantum solitary wave is of quantization, which makes it possible to observe quantum thermal conduction in the material.