(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Im doing an A-level project on the Schrödinger equation and am unsure on the mathematics used to obtain the following results:

The Schrödinger for a particle in no potential field (=0) has the solution:

psi(x)=e^ikx. i is defined below, I haven't really a clue as to how you get this result.

Looking at it I would guess that its a double integral to remove the second derivative of psi with respect to x, can anyone help me out here? I know how the rest of the equations goes after and using Eulers relationship to express it in tems of cos kx + i sin kx. You can also re-arrange k to show de Broglie's relationship.

any help is greatly appreciated

2. Relevant equations

3. The attempt at a solution

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1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Physical Chemistry, P.W.Atkins, the Schrödinger equation

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