- #1
Niles
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Homework Statement
Hi guys
In my book they use the following identity
[tex]
e^{ - i\widehat Ht/\hbar } = e^{ - i\widehat Tt/\hbar } e^{ - i\widehat Vt/\hbar } + O(t^2 )
[/tex]
where H = T+V, and the last term means "terms of order t2 or higher". I can't quite see how they reach this identity. First, I know that T and V do not commute, so I guess that is where the O(t2) comes from.
Any help will be appreciated. (BTW, this is not an exercise problem -- just something in my book that I cannot understand).Niles.