Final formula sheet

# 60 10 19 c semiconductor physics u x u x

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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...
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