能级随机移动振子的共振激发
Resonant Excitation of Oscillator with Randomly Shifted Levels
摘要：
本文解决了在随机势作用下能级发生轻微移动的谐振子的共振激发问题。它示出，在这种情况下，存在一个阈值幅度的激励共振场，低于该激励是本地化的较低的水平上，和以上的振荡器是无限激发，使它是必要的，以考虑耗散过程。一个类似的方法，开发的振荡器被施加到检查的本地化的电子在一根导线的横截面沿其长度变化。它示出，特别是，没有本地化，如果这种变化是超线性的。
英文摘要：
The problem of resonant excitation of a harmonic oscillator the energy levels of which are slightly shifted under the action of a random potential is solved. It is shown that, in this case, there exists a threshold magnitude of the exciting resonance field, below which the excitation is localized on lower levels, and above which the oscillator is indefinitely excited so that it is necessary to take into account dissipative processes. A method similar to that developed for the oscillator is applied to examine the localization of electrons in a wire with cross-section varying along its length. It is shown, in particular, that there is no localization if this variation is superlinear.
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