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Invariance of schroedinger equation

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jk22
#1
Dec28-12, 03:08 PM
P: 153
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 ?
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Dr Transport
#2
Dec28-12, 03:14 PM
Sci Advisor
PF Gold
P: 1,469
Can't do it, it isn't invariant with respect to Galilean transformations.
cosmic dust
#3
Dec28-12, 04:16 PM
P: 123
Try to change the wavefunction as well: multiply it by a space-time dependent phase factor.

andrien
#4
Dec29-12, 12:22 AM
P: 1,020
Invariance of schroedinger equation

http://books.google.co.in/books?id=x...uation&f=false
see page 5.


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