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第25讲金属电å¯&frac1

第25讲金属电å¯&frac1

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Unformatted text preview: 179 ( ) f T k d k 2 Vd k /8 π 3 , f [ E ( k ), T ] d k ( ) 3 , 2 /8 dn f E T Vd π =     k k V = 1 ( ) 3 , 2 /8 dn f E T d π =     k k (6-46) k 2 f [ E ( k ), T ]/8 π 3 E ( k ) E ( − k ), k − k − q υ ( k ) − q υ (− k ) E j j σ E σ (6-47) f ( k ) 2 f ( k ) d k /8 π 3 ( ) k υ ( ) ( ) 3 8 / 2 π k k k d f q υ − ( ) ( ) ∫ − = 3 8 / 2 π k k k j d f q υ (6-48) f ( k ) E d q dt = − = k E k τ k τ 180 6 14 1 2 1 2 τ q τ   −     = E q τ   −     = E (1) k E B ( )             × ∇ − − = B k E k k E q q dt d = = 1 1 (6-49) ( ) t f , 2 k k dt d / k ( ) [ ] ( ) ( ) ( )       ∇ − ∇ − =       −∇ = ∂ ∂ • • • dt d t f t f dt d dt d t f t f t k k k k k k k k k k , 2 , 2 , 2 , 2 dt d / k ( ) ( ) { } 2 1 1 q q q E E •     ∇ − − ∇ × = − ∇ × ∇ ⋅ =         = = = k k k k E k B k B ( ) ( ) t f dt d t t f , , k k k k ∇ − = ∂ ∂ • (6-50) k f δ t ( t + δ t ) k t t dt d δ       − k k t k t dt d δ       − k k ( ) t f , k δ ( ) ( ) ( ) , , , , d d f t f t t f t f t t dt dt δ δ δ •     = − − = − ∇         k k k k k k k ( ) ( ) t f dt d t t f d , , k k k k ∇ − =       ∂ ∂ • f ( k , t ) k f ( k , t ) r f ( k , r t )...
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