cha8 - H om ew ork,dueD ecem ber, P rob lem P arta) A t x ?...

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Unformatted text preview: H om ew ork,dueD ecem ber, P rob lem P arta) A t x ? a ( x )= A e iK x + ( A r + B t ) e ? iK x A t x a ( x )= ( A t + B r ) e iK x + B e ? iK x F rom (.) ( a )= e ika ( ? a )= e ika ( A e ? iK a + ( A r + B t ) e iK a ) wh ich isequa lto( A t + B r ) e iK a + B e ? iK a wh ichg ives e ika ( A + ( A r + B t ) e iK a )= B + ( A t + B r ) e iK a or ( e ika (+ re iK a ) ? te iK a ) A + ( e ika te iK a ?? re iK a ) B = S im ilar ly from theder ivat ivecond it ion : e ika ( AK ? ( A r + B t ) K e iK a )= ? BK + ( A t + B r ) K e iK a lead sto ( e ika ( ? re iK a ) ? te iK a ) A + ( ? e ika te iK a + ? re iK a ) B = Setthedeterm inan tequa ltozero : ( e ika (+ re iK a ) ? te iK a )( ? e ika te iK a + ? re iK a ) ? ( e ika te iK a ?? re iK a )( e ika ( ? re iK a ) ? te iK a )= C om b ineterm sintheexponen to fb igK : e iK a ( t ? r ) e ika ? t (+ e ika ) e iK a + e ika = M u lt ip lyby e ? ika e ? iK a toget e iK a ( t ? r ) ? t ( e ? ika + e ika )+ e ? iK a = andcom b ineexponen tsinacos ine...
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cha8 - H om ew ork,dueD ecem ber, P rob lem P arta) A t x ?...

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