hw 03 solution

# L2 hz2 z1l2 h g hx2 x1 l b g hx2 x1 l l2 hg2

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Unformatted text preview: Anm Hx L then Aab ' Hx 'L = ÅÅÅÅÅÅÅÅÅÅÅÅa ÅÅÅÅÅÅÅÅÅÅÅÅÅb Amn Hx L = - ÅÅÅÅÅÅÅÅÅÅÅÅa ÅÅÅÅÅÅÅÅÅÅÅÅÅb Anm Hx L = - A ba ' Hx 'L ∑ x' ∑ x' ∑ x' ∑ x' n m ∑ x m ∑ xn ∑ x m ∑ xn HbL if Smn Hx L = Snm Hx L then Sab ' Hx 'L = ÅÅÅÅÅÅÅÅÅÅÅÅÅaÅ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ Smn Hx L = ÅÅÅÅÅÅÅÅÅÅÅÅa ÅÅÅÅÅÅÅÅÅÅÅÅÅb Snm Hx L = S ba ' Hx 'L ÅÅÅ ÅÅÅÅ ÅÅÅ ∑ x' ∑ x'b ∑ x' ∑ x' ∑ xa ∑ x' n Hx 'L = ÅÅÅÅÅÅÅÅÅÅÅÅÅm ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ T ÅÅÅ ∑ x' ∑ x b Hx L b a b a HcL if T and S are tensors then their components will satisfy T ' Therefore aT ' n m n m HbL Hx2 ' - x1 'L2 + Hy2 ' - y1 'L2 + Hz2 ' - z1 'L2 - Hx2 ' - x1 'L2 = H g Hx2 - x1L - b g Hx2 - x1L L2 + Hy2 - y1 L2 + Hz2 - z1L2 - H g Hx2 - x1 L - b g Hx2 - x1 L L2 = Hg2 - b2 g2L Hx2 - x1 L2 + Hy2 - y1 L2 + Hz2 - z1L2 - Hg2 - b2 g2L Hx2 - x1 L2 = Hx2 - x1 L2 + Hy2 - y1L2 + Hz2 - z1 L2 - Hx2 - x1 L2 x1 ' = cosh HuL x1 - sinh HuL x1 , y1 ' = y1 , z1 ' = z1 , x1 ' =...
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## This document was uploaded on 03/17/2014 for the course PHYSICS 600 at Purdue University.

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