A S-Matrix in Quantum Field Theory

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The S-matrix is essential for computing scattering amplitudes in quantum field theory. While it is possible to use a field like ##\phi(x,t)## to compute these amplitudes, mastering the S-matrix requires extensive study, typically through dedicated courses or textbooks. General discussions on this topic are insufficient for in-depth understanding, and specific questions should follow a thorough review of the material. Engaging with resources like Peskin & Schroeder is recommended for foundational knowledge. Overall, a PF thread cannot replace comprehensive learning in S-matrix theory.
gremory
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Usage of the S-matrix
Hello, i need help with the S-matrix. From what i understand, with the S-matrix i would be able to compute the scattering amplitude of some processes, is that correct? If so, how would i be able to do that if i have some field ##\phi(x,t)## in hands? Is that possible?
 
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Study Peskin & Schroeder... :rolleyes:
 
gremory said:
i need help with the S-matrix.
That is more help than is within the scope of a PF thread. You are basically asking for a course in S matrix theory, and for that you need a textbook (such as the one @strangerep suggested), not a PF thread.

gremory said:
From what i understand, with the S-matrix i would be able to compute the scattering amplitude of some processes, is that correct?
Yes. However...

gremory said:
If so, how would i be able to do that if i have some field ##\phi(x,t)## in hands? Is that possible?
It's certainly possible, but as above, learning how to do it takes one or more full-time courses in S-matrix theory. It's not something we're going to be able to teach you in a PF thread.

If, after taking some time to study a textbook, you have particular questions about what you are reading, by all means open a new thread with a much more specific focus. In the meantime, this thread is closed.
 
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For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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