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It is well known that Madelung formulation is alternative to the Schrödinger Formulation, cf. this previous Madelung transformation Phys.SE post. I wanted to know what makes Schrödinger's formulation superior to that of Madelung, and in particular, when does the Madelung formulation fail?

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    $\begingroup$ And why do you think there are some superiority? I think they have same relation to Schrodinger as Euler equations to Newtons one. $\endgroup$ – m0nhawk Feb 15 '13 at 10:44
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This is a translation from the German Wikipedia entry about the Madelung equations:

Due to their non-linearity, the Madelung-equations are difficult to use in practise. However, they show that there exist non-linear equations that are based on linear equations.

Hope this helps.

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