Lecture15

Lecture15 - Complex number theorems If exp(iϕ ) = cos(ϕ )...

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Unformatted text preview: Complex number theorems If exp(iϕ ) = cos(ϕ ) + i sin(ϕ ) exp(iπ ) = −1 exp(iπ / 2) = i exp(-iϕ ) = cos(ϕ ) − i sin(ϕ ) 1 cos(ϕ ) = [ exp(iϕ ) + exp(−iϕ )] 2 1 sin(ϕ ) = [ exp(iϕ ) − exp(−iϕ ) ] 2i A1exp(iϕ1 ) × A2 exp(iϕ 2 ) = A1 A2 exp [ i (ϕ1 + ϕ 2 ) ] A1exp(iϕ1 ) / A2 exp(iϕ 2 ) = A1 / A2 exp [ i (ϕ1 − ϕ 2 ) ] ...
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This note was uploaded on 02/16/2011 for the course PHYS 2163 taught by Professor Briscoe during the Fall '10 term at GWU.

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