QED, chapter 4 P&S page 125 (Coulomb Potential)

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Start date Jan 10, 2021
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In summary, the Coulomb potential is a fundamental concept in electrostatics that describes the potential energy between two charged particles at a distance. It is calculated using the formula V = kq1q2/r and is significant in understanding the behavior of electrically charged particles and their interactions. The Coulomb potential is related to the Coulomb force through the formula F = -dV/dr and has various applications in a wide range of fields, including physics, chemistry, and engineering. These applications include designing electrical circuits, studying particle behavior, and developing technologies such as capacitors and batteries.

Jan 10, 2021

Pouramat

Homework Statement: In section Coulomb Potential stated that: "You can easily verify that the other terms mentioned below vanish if ##p = p' = o##"
which we are working in nonrelativistic limit

Relevant Equations: $$\bar u(p') \gamma^i u(p)$$

$$\bar u(p') \gamma^i u(p) = u^\dagger(p') \gamma^0 \gamma^i u(p)$$
if ##p = p'## we can use
$$u^\dagger(p) u(p) = 2m \xi^\dagger \xi$$
but how can we conclude the statement?

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Jan 12, 2021

nrqed

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What is ##u(p)## when ##\vec{p}=0## ?

Related to QED, chapter 4 P&S page 125 (Coulomb Potential)

1. What is the Coulomb potential in QED?

The Coulomb potential in QED is a fundamental force that describes the interaction between two charged particles. It is based on the principle that like charges repel each other while opposite charges attract.

2. How is the Coulomb potential calculated?

The Coulomb potential is calculated using Coulomb's law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

3. What is the significance of the Coulomb potential in QED?

The Coulomb potential is significant in QED because it is one of the four fundamental forces of nature, along with gravity, strong nuclear force, and weak nuclear force. It plays a crucial role in the interactions between charged particles and is essential for understanding many physical phenomena.

4. How does the Coulomb potential differ from the other fundamental forces in QED?

The Coulomb potential differs from the other fundamental forces in QED in several ways. It is a long-range force, meaning it can act over large distances, whereas the other forces are short-range. It also follows a different mathematical equation and is much stronger than the other forces.

5. Can the Coulomb potential be unified with the other fundamental forces?

Currently, there is no unified theory that combines the Coulomb potential with the other fundamental forces. However, many physicists are working towards a theory of everything that would unify all the forces in nature, including the Coulomb potential.