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As a retired teacher I cannot remember how the complex wave equation
y=Aexp(i[kx-wt])
was first encountered in my own education. Recently I
began to wonder how this would be introduced, anyway. Accepting the
necessity of its use in QM, I wanted to ask how teachers today related
this complex expression to mind's-eye reality early in the educational
process, or whether they would simply show the concept as a math tool
to have practical applications later.