- #1
LCSphysicist
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How to perform a integral in momentum space
- Thread starter LCSphysicist
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AI Thread Summary
The discussion focuses on the process of performing integrals in momentum space, specifically addressing a transition between two lines in an integral expression. A participant questions the validity of the integral's transformation, suggesting an alternative form involving a factor of $$\frac{4 \pi}{(2 \pi)^3}$$ and an integral over momentum. The presence of a ##\cos(\theta)## term in the dot product is highlighted as a key factor that influences the integration process. This term leads to differences in the exponential functions when integrating over ##d(\cos(\theta))##. Understanding these nuances is crucial for accurately performing integrals in momentum space.
- #2
Frabjous
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There is a ##\cos(\theta)## in the dot product which brings out the ipr and causes the difference in the exponentials when you integrate over ##d(\cos(\theta))##
Last edited:
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.)
I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
So that they become:
##
g^{\sigma \rho} \nabla_\sigma \nabla_\rho R ~g_{\mu\nu} + R ~R_{\mu\nu} - \nabla_\mu \nabla_\nu R
##
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