Second , it is comparable with the energy uncertainty due to the heisenberg uncertainty principle , for reasonably long intervals of time 其次，由于相当长的时间间隔，它接近于由于海森伯格的测不准原理引起的能量的不确定度。
2.
According to quantum theory , even a perfect vacuum is not truly empty ; it is filled with fluctuations as a result of the heisenberg uncertainty principle 根据量子理论中的海森堡测不准原理，就算是完美的真空也不是空无一物，而是充满了量子涨落。
3.
Introduction to wave mechanics : schroedinger ' s equation , wave functions , wave packets , probability amplitudes , stationary states , the heisenberg uncertainty principle , and zero - point energies 介绍波动力学:薛丁格方程式，波方程式，波包，或然率，稳定态，海森堡不确定原理以及零点能量。
4.
As for the idea that the quantum can emerge from relativity , bousso recently derived the most famous formula of quantum mechanics , the heisenberg uncertainty principle , from the holographic limit 至于量子源自相对论的说法，布索最近由全像极限推导出了量子力学最有名的公式海森堡的测不准原理。
5.
Only quantum mechanics can provide the answer : the particle ' s position will have an uncertainty that follows the heisenberg uncertainty principle , such that it might not really reach the singularity and thus escape the possible collapse to infinite density 只有量子力学可以提供答案：粒子的位置将具有不确定性，它们遵守海森堡测不准原理，因而它可能不是真的达到奇异而因此逃逸了可能的坍塌达到无限密度。
6.
One is the non - orthogonal gabor - daubechies frame , or g - d frame , a complete set of discrete window fourier functions which are constructed by space - shifting and harmonically modulating a gaussian window . although a g - d frame is not an orthogonal basis , it bears considerable advantages for the study of physical problems , especially those related to the wave field extrapolation , due to the optimal localization properties of the gaussian window function under the heisenberg uncertainty principle 其一为将高斯窗函数经平移和调制而构成的一组窗口富里叶框架( gabor - daubechies框架，或g - d框架)基本函数，另一种为在富里叶分析和小波包理论基础上发展起来的局部余弦基函数。
7.
The termless security of quantum cryptographic key protocol is based on the quantum non - clone principle and heisenberg uncertainty principle . whilst , these two characteristics mentioned above contributes greatly to solve the problems of low transmitting rate , complicated operation and forge - identity assault in the bb84 protocol 量子密钥协议的无条件安全性能主要建立在量子不可克隆定理和heisenberg的测不准原理两大理论基础上的，但也正是由于量子的这两种特性导致在bb84协议中存在了传输效率低下、操作复杂、假冒身份攻击等方面的问题。
