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他把交比叫作非调和比。The cross ratio he called anharmonic ratio.

应用双波函数量子理论，研究了在二次型非简谐振子模型场中运动的单粒子的运动状态，给出了力学量的时间演化方程。The double wave function theory is applied to study the motion of single particle in the quadratic anharmonic model field.

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场对粒子运动的高阶效应在振动哈密顿量中引起非简谐项。The higher-order effects of the field on the particle motion give rise to anharmonic terms in the vibrational Hamiltoniom.

对于非简谐阱，这种激发具有能量选择特性，它又取决于电流噪声的频谱分布。For anharmonic trap, this excitation has energy-selective characters, and depends on the frequency spectrum of the current noise.

本文就一类强迫非简谐振子出现随机行为问题作一些讨论并给出数值计算的结果。In this paper, some discussions and calculations about stochastic behaviour of a kind of forced anharmonic oscillator will be given.

本文研究了高次谐波产生及非谐振子模型两种非线性光学系统中存在光场振幅立方压缩的条件。The conditions for the production of amplitude-cubed squeezing in higher-order harmonic generation and an anharmonic oscillator are studied.

采用赝角动量的方法研究了非谐振子定态薛定谔方程的严格解。The energy spectra and eigenstates of an anharmonic oscillator for the bound states is studied with the aid of pseudo_angular_momentum method.

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结果表明，随着纳米银颗粒尺寸的减小，银原子的静态无序度增大，非和谐振动加剧。The results show that static order of Ag atoms increases, and anharmonic vibration of Ag atoms becomes stronger when Ag particle size decreases.

受热运动引起的非谐效应影响，硅团簇的本征振动模式随着温度升高也逐渐消失。Under the anharmonic effect brought by thermal motion, the eigenvibration modes of silicon clusters are gradually disappeared as the temperature rises.

本文运用唯象的方法对高温高压的宏观条件下固体的非谐性质以及熔化规律作出了较为系统的研究。This paper makes a systematic study of anharmonic properties and melting law for solids at high temperatures-high pressures by using phenomenological method.

通过周期性地调制势阱，从实验上证明了四极阱的非简谐特性可以被用来冷却被囚禁的原子。It is demonstrated experimentally that the anharmonic property of the quadrupole trap can be exploited to cool trapped atoms by modulating the trap potential anisotropically.

本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.

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弹性模量只与第一非简谐系数有关，而与简谐系数和第二非简谐系数无关。It is also found that the elastic modulus only relates to the first anharmonic coefficient, but has no relation to the simple harmonic coefficient and the second anharmonic coefficient.