Does There Exist the Applicability Limit of PDE to Describe Physical Phenomena? —A Personal Survey of Quantization, QED, Turbulence — Oak Academic Publishing
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Does There Exist the Applicability Limit of PDE to Describe Physical Phenomena? —A Personal Survey of Quantization, QED, Turbulence
Department of Mathematics, Tokyo Institute of Technology, Tokyo, Japan
1 Department of Mathematics, Tokyo Institute of Technology, Tokyo, Japan
What does it mean to study PDE (Partial Differential Equation)? How and what to do “to claim proudly that I’m studying a certain PDE”? 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 Schrödinger equation, PDE which explains both wave and particle characters after quantization of ODE. The coupled Maxwell-Dirac equation is also “quantized” and QED (Quantum Electro-Dynamics) theory is invented by physicists. Though it is said this QED gives very good coincidence between theoretical 1 and experimental observed quantities, but what is the equation corresponding to QED? Or, is it possible to describe QED by “equation” in naive sense?
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