Please answer question clearly potential?I2. Compton scattering. Derive the expression shown in the lecture:2f-2₁ = A2 =(ii) You can write the 4-vector for the final photon and the final electron as(hc/f, h/f cose, h/f sin0, 0) and (E, pcoso, -psino,0).Draw a diagram indicating what 0 and are.(iii) Write p² in terms of E, c, me.hHere is one way of doing it:(i) Write down a 4-vector for energy and momentum for the initial photon and the initial electronin terms of h, λ₁ ,c, me.-(1- cos 0)m.c(iv) Write down the three equations you get applying energy conservation (Eq1), conservationof momentum in the x-direction (Eq2) and conservation of momentum in the y-direction (Eq3).(v) Use Eq3 to get an expression for cos o in terms of p, h, λf, 0.(Note the trigonometric identity: cos²y+ sin²y=1)(vi) Substitute this expression for cos o into Eq2 and obtain an expression for p².in terms of h, c, A₁, A, 0.(vii) Substitute this expression for p into Eq1 to obtain the result.

We can solve this problem using conservation of four momentum. The detailed solution is following.…

potential? I 2. Compton scattering. Derive the expression shown in the lecture: h mc 2₁-2₁ = A2=- -(1-cos) Here is one way of doing it: (i) Write down a 4-vector for energy and momentum for the initial photon and the initial electron in terms of h, i,c, me. (ii) You can write the 4-vector for the final photon and the final electron as (hc/, h/f cose, h/f sin0, 0) and (E, pcoso, -psino,0). Draw a diagram indicating what 0 and are. (iii) Write p² in terms of E, c, me. (iv) Write down the three equations you get applying energy conservation (Eq1), conservation of momentum in the x-direction (Eq2) and conservation of momentum in the y-direction (Eq3). (v) Use Eq3 to get an expression for cos o in terms of p, h, 2, 0. (Note the trigonometric identity: cos'u+ sin²y=1) (vi) Substitute this expression for cos o into Eq2 and obtain an expression for p². in terms of h, c, A₁, A, 0. (vii) Substitute this expression for p into Eq1 to obtain the result.

potential? I 2. Compton scattering. Derive the expression shown in the lecture: h mc 2₁-2₁ = A2=- -(1-cos) Here is one way of doing it: (i) Write down a 4-vector for energy and momentum for the initial photon and the initial electron in terms of h, i,c, me. (ii) You can write the 4-vector for the final photon and the final electron as (hc/, h/f cose, h/f sin0, 0) and (E, pcoso, -psino,0). Draw a diagram indicating what 0 and are. (iii) Write p² in terms of E, c, me. (iv) Write down the three equations you get applying energy conservation (Eq1), conservation of momentum in the x-direction (Eq2) and conservation of momentum in the y-direction (Eq3). (v) Use Eq3 to get an expression for cos o in terms of p, h, 2, 0. (Note the trigonometric identity: cos'u+ sin²y=1) (vi) Substitute this expression for cos o into Eq2 and obtain an expression for p². in terms of h, c, A₁, A, 0. (vii) Substitute this expression for p into Eq1 to obtain the result.