The shape of a spectral line, I(), is related to the free induction decay signal G(t) by

Chapter 15, Problem 15.17

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The shape of a spectral line, I(), is related to the free induction decay signal G(t) by I() = a Re_ 0 G(t)eitdt where a is a constant and Re means take the real part of what follows. Calculate the lineshape corresponding to an oscillating, decaying function G(t) = cos0t et/.

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