Substituting the plane wave solution into the wave equation

janemba · Apr 3, 2008

what do you have to do to solve this

Printed homework problems on electron microscope wavelengths at 100V and 10000V, and a plane wave solution Psi(x,t)=Ae^(i(kx-wt)) substituted into the time-dependent Schrodinger equation, asking for the relations between hbar omega, hbar k, E and p.

Hootenanny · Apr 4, 2008

Try substituting the plane wave solution into the wave equation.

janemba · Apr 4, 2008

And what rule do you use to do that

Dick · Apr 4, 2008

You use, like, (d/dx)e^(f(x))=(d/dx)(f(x))*e^(f(x)). The ordinary rules of differentiation. Just tell us what you get. The exponentials should cancel on both sides leaving you with an algebraic relation between omega and k.

janemba · Apr 5, 2008

is there like a video that teach you the rules of ordinary rules of differentiation ?

Dick · Apr 5, 2008

I don't know that there is a video, but try any elementary calculus text. Pay particular attention to the 'chain rule'.

Substituting the plane wave solution into the wave equation

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