- #1
Rorshach
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Homework Statement
Hell My problem is as follows:
Determine the following commutators: [px2,x],[pxx2],[px2,x2],[]. The calculation can be done in two ways, either by inserting a test function, and using the explicit expressions for the operators, or by utilizing Jacobi identity and using the fact that [x,px]=ihbarred . You should master both methods.
Homework Equations
[A,B]=AB-BA
[x,px]=ihbarred
[A,BC]=B[A,C]+[A,B]C
px=-ihbarred*d/dx
p2=-hbarred2*d2/dx2
The Attempt at a Solution
Here's the problem- I just cannot find good paper with proper explanation how to do it and examples with solutions. I am also not familiar with term and meaning of jacobian- in the textbook I am using there is no explanation of jacobian, or how to solve commutators, not even mentioning solving commutators with jacobians.