金属团簇的偶极共振是怎样的谐波？
How harmonic is dipole resonance of metal clusters?
摘要：
讨论了金属团簇偶极等离子体共振的非谐性程度。我们采用含时变分原理，并表明第二声子的相对位移标度为$N^{-4/3}$的能量，$N$是粒子的数量。这种标度性质与核巨共振的标度性质一致。与以前基于玻色子展开方法的研究相反，对于Na团簇，偏离谐波极限的情况几乎可以忽略不计，这一结果与最近的实验观测相一致.
英文摘要：
We discuss the degree of anharmonicity of dipole plasmon resonances in metal clusters. We employ the time-dependent variational principle and show that the relative shift of the second phonon scales as $N^{-4/3}$ in energy, $N$ being the number of particles. This scaling property coincides with that for nuclear giant resonances. Contrary to the previous study based on the boson-expansion method, the deviation from the harmonic limit is found to be almost negligible for Na clusters, the result being consistent with the recent experimental observation.
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