%0 Journal Article
%T Does There Exist the Applicability Limit of PDE to Describe Physical Phenomena?<br>&#8212;A Personal Survey of Quantization, QED, Turbulence
%A Atsushi Inoue
%J World Journal of Mechanics
%P 97-142
%@ 2160-0503
%D 2024
%I Scientific Research Publishing
%R 10.4236/wjm.2024.146006
%X What does it mean to study PDE (Partial Differential Equation)? How and what to do &#8220;to claim proudly that I&#8217;m studying a certain PDE&#8221;? Newton mechanic uses mainly ODE (Ordinary Differential Equation) and describes nicely movements of Sun, Moon and Earth etc. Now, so-called quantum phenomenum is described by, say Schr&#246;dinger equation, PDE which explains both wave and particle characters after quantization of ODE. The coupled Maxwell-Dirac equation is also &#8220;quantized&#8221; and QED (Quantum Electro-Dynamics) theory is invented by physicists. Though it is said this QED gives very good coincidence between theoretical<sup>1</sup> and experimental observed quantities, but what is the equation corresponding to QED? Or, is it possible to describe QED by &#8220;equation&#8221; in naive sense?
%K Superspace
%K Grassmann Variables
%K Hamilton-Jacobi Equation
%K Quantization
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=135689