Commute to find out evaluate the commutator lets

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Unformatted text preview: arbitrary function. commute? To find out, evaluate the commutator Let’s write out the commutator of the two operators: [ ̂ ̂ ] Next, we evaluate each of the two terms separately: ̂̂ ̂̂ ̂̂ ̂ ̂̂ ̂ The two expressions are identical, therefore the commutator is zero: [ ̂ ̂ ] commute. . The operators 5. Operators. Compute the commutators of (a) position along x (x) and linear momentum along z ( ̂ ), (b) position along z (z) and linear momentum along z ( ̂ ). ̂ ̂ [ Therefore, ̂ [ ( ( , and ̂ . ) ) 6. Uncertainty. The velocity of a Ag atom in a Stern-Gerlach apparatus is a...
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This note was uploaded on 12/09/2012 for the course CHEM 455 taught by Professor Reinhardt during the Fall '06 term at University of Washington.

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