- #1
waht
- 1,501
- 4
Homework Statement
When calculating this commutator,
[tex] [ \pi(x), \int d^3x' { \frac{1}{2} \pi^2(x') + \frac{1}{2} \phi(x')(-\nabla^2 + m^2) \phi(x') }] [/tex]
I almost get the right answer, but not sure if this is valid, or if there is an identity
The Attempt at a Solution
when I get to this point
[tex] \int d^3x' \pi(x) \phi(x')( -\nabla^2 \phi(x')) - \phi(x') (-\nabla^2 \phi(x'))\pi(x) [/tex]
I need to take out [tex] -\nabla^2 \phi(x') [/tex] to form
[tex] (-\nabla^2 \phi(x')) [\pi(x), \phi(x')] [/tex]
that way the rest would follow and give me the correct answer which is
[tex] -i(-\nabla^2 + m^2)\phi(x')) [/tex]
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