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Messiah writes in his Quantum Mechanics book in chapter XVIII, section 14 (pages 786-789):

http://img827.imageshack.us/img827/4605/screenshot3si.png [Broken]

What does he mean, when he says "an increment of the order of 'a' is necessary to transform the function phi into a function that is orthogonal to it"? Why do we obtain an orthogonal function, when we increase the atomic distance?

Especially, why should d Phi/ dX be roughly equal to the orthogonal function divided by 'a'?

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derivator

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# Adiabatic approxmation, estimate of d\phi/dx

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