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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 t^{2}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(t^{2}) comes from.

Any help will be appreciated. (BTW, this is not an exercise problem -- just something in my book that I cannot understand).

Best,

Niles.

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# QM: Identity

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