overlapping wave 中文意思是什麼
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In fact, the deep overlapping of the wavepacket of particles implies new interactions which are technically called nonlinear ( in the sense of depending on powers of the wavefunctions bigger than one ), nonlocal ( in the sense that they are extended over the volume of wave - overlappings which cannot be evidently reduced to finite number of isolated points ), as well as nonpotential ( in the sense of being of contact / zero { range type for which the notion of action - at - a - distance potential has no mathematical or physical meaning of any type }
事實上，粒子相互之間深深重疊的波包意味著新型的相互作用，技術上它可稱之為非線性意義為它們取決于波函數大於1次的幕而定，為非局部意義為它們的延伸超越了波重疊的體積，使其顯然無法再縮小到有限數孤立點，以及為非潛能意義為相互接觸零距離，在這種情況下一定距離下作用的潛勢不再有任何數學上或物理上的意義。 -
Furthermore, with overlapping of space - time waves, we know that quantum phenomena including wave - particle duality result from the impact of measurement and discover what hides behind the schrdinger equation. it is known that a math equation in physics is indispensable to certain special physical notions, but we find that schrdinger equation, as a principle in quantum mechanics, is lack of a should have
我們知道所有物理學的原理公設假設都源於基本物理概念，由於研究對象的差異，這些物理概念可以是具體的也可以是抽象的，科學家們應用數學方法對這些概念進行描述，並用數學方程式計算各種物理量的關系，就是說物理學中的數學方程式無法脫離物理概念而獨立存在。 -
Overlapping domain decomposition parallel finite difference algorithm of wave equation
波動方程的重疊型區域分解并行有限差分演算法
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