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Final formula sheet

# Final formula sheet - PHYSICAL CONSTANTS 0 = 8 F/cm r Si =...

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PHYSICAL CONSTANTS: 8 . 11 ) ( = Si r ε F/cm 10 854 . 8 14 0 × = ε k B T = 25.8meV (300 K) Js 10 05 . 1 34 × = π 2 = h q = 1.60 " 10 # 19 C E Ryd = e 4 m 0 2(4 "# 0 ! ) 2 = 13.6 eV 1 eV =1.60 " 10 -19 J LATTICES R = n a + m b + p c K = h A + k B + l C A = 2 " b # c a \$ ( b # c ) K " R = 2 # m QUANTUM MECHANICS E = ! " = 2 # ! f p = m * v = ! q = 2 " ! # 2 / Δ Δ p x ˆ H " = i ! d dt " " # ( x , t ) = \$ ( x ) e % i # t ˆ p " = # i ! \$ " " k ( x ) = e + i k # x ˆ p " k = p " k = ! k " k ˆ x " = x " " x 0 ( x ) = # ( x \$ x 0 ) ˆ x " x 0 = x 0 " x 0 1 = " " = " * " # d 3 x P ( r ) = " * ( r ) " ( r ) = " ( r ) 2 A = " ˆ A " = " * ˆ A " # d 3 x ˆ H = " ! 2 2 m # 2 + U ( ˆ x ) if ˆ A = ( ˆ A T ) * then eigenvalues of ˆ A are real, and " * ( ˆ A " ) d 3 x = # ( ˆ A " * ) " d 3 x # ˆ H " # = E " # = ! #" #

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