1133_Physics ProblemsTechnical Physics

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

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474 Introduction to Quantum Physics P40.28 (a) Thanks to Compton we have four equations in the unknowns φ , v , and λ : hc hc mc ee λλ γ 0 22 = +− (energy conservation) [1] hh mv e φγ 0 2 = + cos cos (momentum in x direction) [2] 02 = h e sin sin (momentum in y direction) [3] ′− = 0 12 h e cos bg (Compton equation). [4] Using sin sin cos φφ = in Equation [3] gives h e = 2 cos . Substituting this into Equation [2] and using cos cos 1 2 =− yields h h 0 2 21 2 41 = −+ = cos cos cos ej , or ′= 4 0 2 0 cos . [5] Substituting the last result into the Compton equation gives 42 1 2 1 2 1 0 2 0 2 2 2 λφ cos cos cos −= = h hc e e e j . With the substitution 0 0 = hc E , this reduces to cos 2 2 0 2 0 2 1 2 = + + = + + E E x x e e where x E e 0 2 . For x == 0700 137 . . MeV 0.511 MeV , this gives = + + cos . 1 1 2 33 0 x x . FIG. P40.28(a) (b) From Equation [5], =
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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