本文用量子力学理论推导出自由粒子的波函数。
This paper infers the wave function of free particle in accordance with quantum mechanics theory.
开始三章阐述了自由粒子的相对论量子力学的多个方面。
The first three chapters deal with various aspects of the relativistic quantum mechanics of free particles.
所有这些影响都会妨碍电子和空穴去继续它们作为准自由粒子的稳定运动，而引起散射。
All these prevent the electrons and holes from continuing their steady motion as quasi-free particles, and introduce scattering.
指出梁绍荣等编的《量子力学》一书中，用德布罗意公式推导出自由粒子的波函数的错误。
The wave function of free particle has been inferred from L. De Broglie formula in the book Quantum Mechanics (written by Liang Shaorong etc. ). The inference is wrong.
大海溅起浪花，因而使海洋空气中富含负氢离子，抵消自由基（阳离子）带电粒子，增强我们的吸氧能力。
Sea spray – and, therefore, sea air – is full of negative hydrogen ions, charged particles that neutralise damaging free radicals (positive ions) and improve our ability to absorb oxygen.
我们认为，简言之，如果人类真有自由意志，那么基本粒子也享有这项小小的权利。
It asserts, roughly, that if indeed we humans have free will, then elementary particles already have their own small share of this valuable commodity.
“自由基(比如由阳光照射而形成的粒子)会损害皮肤细胞膜，更会对细胞DNA构成潜在的威胁。”Heller说。
"Free radicals — like the kind formed from sun exposure — damage the membrane of skin cells, potentially allowing damage to the DNA of that cell," says Heller.
各种金属或金属合成靶材被带电离子撞击，造成金属原子成为自由粒子沉积在上面的聚酯薄膜的表面。
Various metal or metal the material composing a target is collide with by electrified ion is brought about the metal atom becoming the free particle deposition surface in mylar above.
在三体衰变中，出现的产物粒子有较大的自由度。
In a three-body decay, the emerging particles have more freedom.
当一个到达熔点时，物体熔化的同时粒子自由破裂。
When one reaches the melting temperature, particles break free as the material melts away.
在导体或一些溶液中，真正移动的是带电荷的粒子，如自由电子、离子。
In the conductor or some solutions, the true migration is the belt electric charge granule, like free electron, ion.
激波在自由面反射后，自由表面附近的粒子速度为活塞速度的二倍，这和宏观力学结果相同。
After reflection, the average particle velocity near free surface is equal to twice the piston velocity approximately, which agrees with macroscopic phenomena.
电子的自由飞行步长由电子与中性粒子的碰撞频率来决定。
The electron free flying time is determined by the electron -neutral particle collision frequency.
利用粒子图像测速仪(PIV)对圆筒形容器内有自由表面变形的粘弹性流体旋转流动进行了实验研究。
By using a particle image velocimetry (PIV), an experimental study was performed on the swirling flow of viscoelastic fluid with deformed free surface in a cylindrical container.
强烈的离子和电子梁对待在真空管，粒子束技术和实验装备，例如自由电子激光和加速器里使用的强烈的充电粒子束。
Intense ion and electron beams treats intense charged-particle beams used in vacuum tubes, particle beam technology and experimental installations such as free electron lasers and accelerators.
粒子自由度越多，反对称效应的互作用越弱。
The more the freedom of the particle is, the weeker the equivalent interaction.
耦合使粒子和集体自由度按这样的方式混合，即使单粒子跃迁强度部分地转变到集体模式中。
The coupling admixes the particle and collective degrees of freedom in such a manner as to partially transfer the one-particle transition strength onto the collective modes.
用单粒子理论分析了未被有质动力势阱捕获的电子对电磁波泵自由电子激光边带不稳定性的影响。
Influence of untrapped electrons on the sideband instability of electromagnetic Wig-gler free electron laser(EM-FEL)is analyzed in detail with single-particle theory.
有内部的自由度的粒子的多面的箱和挖隧道的延长也被考虑。
Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered.
结果表明：原子的非简谐振动会影响单畴铁磁粒子的自由能，但是不会影响弛豫时间。
Considering atomic anharmonic vibration, the authors have figured out the expression of free energy and relaxation of single-domain ferromagnetic granule in magnetic field.
推广了原来的RVUU模型，进一步分离了粒子的同位旋自由度。
We generalize the previous RVUU model to he able to identify the isospin degree of freedom of particles.
利用现行标准的统计力学方法推导出中间统计的巨配分函数，得到了服从中间统计的理想自由粒子模型的热力学函数。
The grand partition function of intermediate statistics with a standard method is derived to calculate the thermodynamic properties of an ideal free-particle model.
采用粒子图像测速技术对平板类铸件浇注过程水模拟的充型自由表面速度场进行了测试分析。
In this paper, it is tested that the surface velocity fields of the planar casting water simulation using the Digital Particle Image Velocimetry technology DPIV.
本文利用自由电子激光的加速器理论，建立了单粒子非线性运动方程及其非自洽数值模拟模型。
By use of accelerator theory in FEL studies, single particle, nonlinear equations of motion with corresponding non-self-consistent computer code is established.
论文采用统计求和法推导出系统自由能的表达式，利用系统自由能对粒子数取最小值的原理得到计算电离度的沙赫方程。
And the equation to calculate ionization rate is obtained at the base of the principle that the system free energy is the least versus the particle number.
论文采用统计求和法推导出系统自由能的表达式，利用系统自由能对粒子数取最小值的原理得到计算电离度的沙赫方程。
And the equation to calculate ionization rate is obtained at the base of the principle that the system free energy is the least versus the particle number.
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