s1125 - ADVANCED DYNAMICS — PHY 4241/5227 SOLUTIONS –...

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Unformatted text preview: ADVANCED DYNAMICS — PHY 4241/5227 SOLUTIONS – SET 8 (25) One finds x′ 1 i x′ 0 = x1 i x0 cosh(ζ ) i sinh(ζ ) −i sinh(ζ ) cosh(ζ ) and in components x′ 1 = cosh(ζ ) x1 − sinh(ζ ) x0 i x′ 0 = −i sinh(ζ ) x1 + i cosh(ζ ) x0 or, equivalently, x′ 0 = + cosh(ζ ) x0 − sinh(ζ ) x1 x′ 1 = − sinh(ζ ) x0 + cosh(ζ ) x1 x′ 1 x′ 0 = cosh(ζ ) − sinh(ζ ) − sinh(ζ ) cosh(ζ ) x1 x0 ...
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