Final formula sheet

60 10 19 c semiconductor physics u x u x

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A" = ˆ # " A" d ˆ ˆ ˆ if A = ( A T )* then eigenvalues of A are real, and ! * 3 x ˆ # " ( A" )d * 3 ˆ x = # ( A" * )" d 3 x q = 1.60 " 10 #19 C SEMICONDUCTOR PHYSICS U ( x ) = U ( x + R) = #U K e i K "x K " q ,n ( x ) = e i q #x uq ,n ( x ) ˆ H" q ,n = E n (q)" q ,n " q ( x ) = ' #$ 0 (r % R) e iq & R ! # ˆ2 & ˆ " ( x ) = % p + U!( x ) (" ( x ) = E " ( x ) ˆ0 H at 0 at 00 $ 2m ' R ˆˆ ˆ H = H at + "U ( x ) ˆ "U ( x ) = %U at ( x # R) R$ 0 E0 (q) = E0 ! B ! 2t x cos(qx a ) ! 2t y cos(qy a ) ! 2tz cos(qz a ) ! 2 ! B = " # 0* ( x ) $U # 0 ( x ) 2 t x = " Re # 0 ( x ) $U # 0 ( x + a x ) ! F= dp dq =! dt dt mx* = !2 d 2 E / dqx 2 ! ! nD = Vk , D (2" ) D ! gD ( E ) = gsgv dn D dE g3 D ( E ) = gsgv 2 ( m* ) 3 / 2 2" 2! 3 E f (E) = 1 e ( E " E F ) / kB T +! 1 f e ( E ) ≈ e − ( E − EF ) / k BT ! f h ( E ) " e( E...
View Full Document

Ask a homework question - tutors are online