| 1. | The cross ratio he called anharmonic ratio .
他把交比叫作非调和比。 |
| 2. | It is said to be anharmonic motion .
故称为非谐运动。 |
| 3. | The higher-order effects of the field on the particle motion give rise to anharmonic terms in the vibrational hamiltoniom .
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。 |
| 4. | The atomic state in two - dimensional periodic anharmonic well
类抛物二维周期势阱中的原子状态 |
| 5. | Attractor for weakly damped nonlinear wave in anharmonic crystal
非谐晶体中弱阻尼非线性波吸引子 |
| 6. | The models of anharmonic oscillator of nonlinear optical susceptibilities
非线性光学极化率的非简谐振子模型 |
| 7. | The anharmonic effect of atomic vibration taken into account and from the potential energy which reacts each other among atoms , boltzmann statistical principle used , the relation formula of temperature and the distance change between atoms and coefficient of linear expansion is derived
摘要考虑原子振动的非简谐效应，从原子间相互作用势能入手，运用玻尔兹曼统计原理，推出了原子间距的变化与温度的关系式，并导出了固体的线胀系数。 |
| 8. | Treating the anharmonic terms of potential energy as perturbations , and employing the formulas for atomic displacements and hamiltonian in phonon occupation number representation , the formulas for thermal expansion coefficients of crystal nano - wires are derived and the numerical calculations are carried out in this paper
摘要将原子间相互作用势的非谐项作为微扰，运用声子数表象中的晶格原子振动位移和晶格振动哈密顿公式，推导了纳米晶体线的热膨胀系数公式，并进行了数值计算。 |
| 9. | Abstract : considering the second nearest - neighbor interaction and cubic , quartic anharmonic interactions simultaneously , we employ the multiple scales method combined with a quasidiscreteness approximation to calculate the lattice vibration . it is shown that the kind of nonlinear chain exhibits envelope soliton , envelope kink and envelope antikink soliton . these results can also be used to explain the experimental phenomena that the kink amplitude of the self - localized structure is determined only by the intrinsic properties of its lattices
文摘:同时考虑次近邻谐振相互作用和三次方、四次方非谐相互作用，利用多重尺度结合准离散近似方法去计算晶格振动行为，发现一维非线性点阵中存在包络孤子及正扭结型包络孤子、反扭结型包络孤子，解释了自局域结构的幅度只取决于点阵中的固有参数的实验现象 |
