I am wondering which fields of science, and which professional positions would make regular or semi-regular use of the techniques of complex analysis.

  • $\begingroup$ Laplace transforms are used in engineering, they produce the transfer functions of a mechanical system, whose poles and zeros and phase have physical meaning, but I doubt techniques from complex analysis is being used regularly. $\endgroup$ – Olivier Bégassat Jun 24 '15 at 0:58
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    $\begingroup$ Briefly, any of the branches of physics and chemistry which use quantum mechanics and the parts of electrical engineering that involve electronics. It is simply a convenient language in which to express quantities and make calculations. (And by "making use of techniques", I mean that the specialists are by-and-large rather "unrigorous"...) $\endgroup$ – colormegone Jun 24 '15 at 0:58
  • $\begingroup$ Aerodynamics: when simulating lift on a wing, this involves evaluating contour integral a and performing conformal transformations. See for example: en.m.wikipedia.org/wiki/Kutta–Joukowski_theorem $\endgroup$ – Alex R. Jun 24 '15 at 1:09

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