然后对量子隧道效应作了数学分析。
Then mathematical and analytical studies on the quantum tunneling effect are presented.
简要介绍了纳米材料的表面效应、小尺寸效应、量子尺寸效应、宏观量子隧道效应等。
The characteristics of nano-materials were briefly introduced, such as surface effect, small size effect, quantum size effect, quantum tunnel effect.
纳米微粒具有的表面效应、量子尺寸效应、宏观量子隧道效应等使纳米微粒具有特殊的物理和化学性质。
Nano-particle has surface effect, quantum dimension effect, and macro quantum effect and so on, which make nano-particle have particular physical and chemical properties.
因此水稻植硅石具备纳米材料的独特性状：表面效应、小尺寸效应、量子尺寸效应和宏观量子隧道效应。
According to nanometer theory, rice phytoliths must have properties of nanometer materials: surface effect, small size effect, quantum effect and macro quantum tunnel effect.
纳米粒子具有的量子尺寸效应、表面效应和宏观量子隧道效应等，使其表现出很多独特的物理及化学性能。
When the size of particles is decreased to nano-scale, the particles will possess many special characteristics as quantum size effect, surface effect, macro-quantum tunnel effect.
这些传感器根据量子隧道效应的原理工作，即只要间隔的距离非常微小，电子就能穿过经典物理学认为不能通过的势垒。
The sensors rely on quantum tunnelling, in which electrons take journeys that would not be allowed by the laws of classical physics, as long as the distances involved are tiny.
其本身具有的量子尺寸效应，小尺寸效应，表面效应，宏观量子隧道效应等使其具有明显优于本体材料的性能。
Because of its quantum size effect, small-size effect, surface effect, macroscopic quantum tunneling effect, etc, it has a superior performance to the materials now existing.
隧穿磁强计是一种利用量子力学中隧道效应原理研制的MEMS磁强计。
Tunneling magnetometer is a kind of MEMS magnetometer based on tunnel effect in quantum mechanics.
以标量波动方程和隧道效应为例子，说明纤维光学中波动分析与量子力学方法的相似性。
Taking scalar wave equation and tunnel effect for example, the similarity of fiber optics to quantum mechanics was shown.
利用量子力学隧道效应原理，对电火花加工机理进行了研究，给出了电火花加工本质的新解释。
By using the tunnel effect principle of quantum mechanics, the mechanism of electrospark machining is studied, and a new explanation of the essence of electrospark machining is given.
纳米材料由于具有表面效应、量子尺寸效应和隧道效应，以添加剂的形式加入耐火材料中，可显著提高耐火材料物理性能和使用性能。
Nano material performances can remarkably improve the physical properties and performances of the refractory material due to its surface effect, quantum size effect and tunnelling effect.
这种器件结构优选地包含耦合量子阱器件，该耦合量子阱器件具有两个或更多个量子阱，该量子阱可以在简并能级通过阱间隧道效应而耦合在一起。
Such a device structure preferably contains a coupled quantum well devices having two or more quantum Wells that can be coupled together by inter well tunneling effect at degenerate energy levels.
这种器件结构优选地包含耦合量子阱器件，该耦合量子阱器件具有两个或更多个量子阱，该量子阱可以在简并能级通过阱间隧道效应而耦合在一起。
Such a device structure preferably contains a coupled quantum well devices having two or more quantum Wells that can be coupled together by inter well tunneling effect at degenerate energy levels.
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