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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- Fall '06
- Electron, Uncertainty Principle, expectation value, ground state