The problem of resonant excitation of a harmonic oscillator whose energy levels are slightly shifted 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.

中文翻译：

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随机移位的振子的共振激励

解决了能量水平略有偏移的谐波振荡器的谐振激励问题。可以看出，在这种情况下，存在一个激发共振场的阈值大小，在该阈值大小以下，激发被局限在较低的水平上，而在该阈值之上，该振荡器被无限地激发，因此必须考虑耗散过程。应用一种类似于为振荡器开发的方法的方法，以检查横截面沿其长度变化的导线中电子的位置。特别示出的是，如果这种变化是超线性的，则没有定位。