Invariance of schroedinger equation

[jk22]

im trying to prove the galileo invariance of s.e. But i get stuck with an extra term prop.to v*d/dx
in fact i get invariance only for scaling x' equ. ax and t' equ. at.
Where does the mistake hide ?

 

[Dr Transport]

Can't do it, it isn't invariant with respect to Galilean transformations.

 

[cosmic dust]

Try to change the wavefunction as well: multiply it by a space-time dependent phase factor.

 

[andrien]

http://books.google.co.in/books?id=xcQNyP2nzRsC&pg=PA4&dq=galilean+transformation+of+Schrödinger+equation&hl=en&sa=X&ei=M4veUO7OIo3RrQffj4CQAw&ved=0CDUQuwUwAA#v=onepage&q=galilean%20transformation%20of%20schrodinger%20equation&f=false
see page 5.