BWV
Jul29-11, 02:39 PM
I get confused by the operator algebra - this is the commutator for q & p from wikipedia
Am I correct on the intermediate step I plugged in there?
http://upload.wikimedia.org/math/2/9/6/296ebfb900298b88e8f5ba9f793dc93c.png
because of the product rule you get as the intermediate step:
=d/dx x Ψ(x) + x d/dx Ψ(x) - x d/dx Ψ(x)
and d/dx x =1
so
http://upload.wikimedia.org/math/e/d/d/edd53c9f1001e42bb424104f7c283eda.png
Am I correct on the intermediate step I plugged in there?
http://upload.wikimedia.org/math/2/9/6/296ebfb900298b88e8f5ba9f793dc93c.png
because of the product rule you get as the intermediate step:
=d/dx x Ψ(x) + x d/dx Ψ(x) - x d/dx Ψ(x)
and d/dx x =1
so
http://upload.wikimedia.org/math/e/d/d/edd53c9f1001e42bb424104f7c283eda.png