{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1133_Physics ProblemsTechnical Physics

1133_Physics ProblemsTechnical Physics - 474 P40.28...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
474 Introduction to Quantum Physics P40.28 (a) Thanks to Compton we have four equations in the unknowns φ , v , and λ : hc hc m c m c e e λ λ γ 0 2 2 = + (energy conservation) [1] h h m v e λ λ φ γ φ 0 2 = + cos cos (momentum in x direction) [2] 0 2 = h m v e λ φ γ φ sin sin (momentum in y direction) [3] ′ − = λ λ φ 0 1 2 h m c e cos b g (Compton equation). [4] Using sin sin cos 2 2 φ φ φ = in Equation [3] gives γ λ φ m v h e = 2 cos . Substituting this into Equation [2] and using cos cos 2 2 1 2 φ φ = yields h h h h λ λ φ λ φ λ φ 0 2 2 2 2 1 2 4 1 = + = cos cos cos e j e j , or ′ = λ λ φ λ 4 0 2 0 cos . [5] Substituting the last result into the Compton equation gives 4 2 1 2 1 2 1 0 2 0 2 2 2 λ φ λ φ φ cos cos cos = = h m c hc m c e e e j e j . With the substitution λ 0 0 = hc E , this reduces to cos 2 2 0 2 0 2 1 2 φ = + + = + + m c E m c E x x e e where x E m c e 0 2 . For x = = 0 700 1 37 . . MeV 0.511 MeV , this gives
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}