- #1

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Problem is:

If the behavior of ψ(

*r,t*) as r->inf is dominated by r

^{-n}, what values can n assume if the integral

∫

_{A}(ψ*∇ψ-ψ∇ψ*)⋅

**n**

*da*

taken over the surface at infinity is to vanish.

I considered ψ as ar

^{-n}calculate like below

ψ*∇ψ≈ar

^{-n}⋅a*(-nr

^{-n-1})=-naa*r

^{-2n-1}

ψ∇ψ*≈a*r

^{-n}⋅a(-nr

^{-n-1})=-naa*r

^{-2n-1}

So... ψ*∇ψ-ψ∇ψ*=0 at anywhere. Thus, n does not affect to integration.

Well, this result is so ridiculous :/