Known: I(v) = 2n2, %3D p(e) x e koT, E = nhv, n: any positive integer...

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Known: I(v) = 2n2²ē, %3D p(e) x e koT, E = nhv, n: any positive integer 2 p(e) E n=1 > p(e) = 1 n=1 Prove that: hv hv ekBT – 1 - Hint 1: E=1r" = (for 0 <r< 1) %3D n%=D1 1-r d Hint 2: E-1 enx n = ªenx %3D Zn=1 Zn=1enx dx dx Hint 3: enx = (e*)" Known: I(v) = 2n2²ē, %3D p(e) x e koT, E = nhv, n: any positive integer 2 p(e) E n=1 > p(e) = 1 n=1 Prove that: hv hv ekBT – 1 - Hint 1: E=1r" = (for 0 <r< 1) %3D n%=D1 1-r d Hint 2: E-1 enx n = ªenx %3D Zn=1 Zn=1enx dx dx Hint 3: enx = (e*)"