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首页> 外文期刊>Physical Review, A. Atomic, molecular, and optical physics >Classical versus quantum harmonic-generation spectrum of a driven anharmonic oscillator in the high-frequency regime
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Classical versus quantum harmonic-generation spectrum of a driven anharmonic oscillator in the high-frequency regime

机译:驱动非谐振振荡器在高频状态下的经典与量子谐波产生谱

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The harmonic-generation spectrum of an anharmonic oscillator perturbed by a high-frequency, high-intensity external field is discussed from both classical and quantum mechanical points of view. The classical theory of harmonic generation in this regime is shown to provide a simple analytical expression for the probability to emit the kth harmonic of the external field frequency. The theory is applied to the harmonic generation by a charged particle moving in Morse and "soft-core" Coulomb model potentials and interacting with a time-periodic electric field. For both models the probability to emit the kth harmonic attains a maximal value at some k(max) so that a single harmonic peak dominates the spectrum. k(max) can be controlled by properly choosing the field and oscillator parameters. The quantum mechanical numerical results are shown to be in excellent agreement with the classical predictions due to the localization of the wave function around either stable (in the case of Morse potential) or unstable (in the case of "soft-core" Coulomb potential) equilibrium position of the corresponding effective Kramers-Henneberger potential. [S1050-2947(98)04202-4]. [References: 36]
机译:从经典力学和量子力学的观点出发,讨论了由高频率,高强度外场干扰的非谐振荡器的谐波产生谱。在这种情况下,经典的谐波产生理论被证明为发射外部磁场频率的第k次谐波的概率提供了一个简单的解析表达式。该理论通过带电粒子在莫尔斯电势中移动和“软核”库仑模型电势并与时间周期电场相互作用而应用于谐波生成。对于这两个模型,发出第k次谐波的概率在某个k(max)处达到最大值,因此单个谐波峰将主导频谱。可以通过适当选择场和振荡器参数来控制k(max)。由于波函数位于稳定的(在摩尔斯电势的情况下)或不稳定的(在“软核”库仑电势的情况下)附近,因此量子力学数值结果与经典预测非常吻合。相应的有效Kramers-Henneberger势的平衡位置。 [S1050-2947(98)04202-4]。 [参考:36]

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