Complex analysis of physics

Complex analysis book
Complex analysis is found in many areas of applied mathematics, from fluid mechanics, thermodynamics, signal processing, control theory, mechanical and electrical engineering to quantum mechanics, among others.
And of course, it is a fundamental branch of pure mathematics..
Complex analysis book
Physics is a difficult subject, and pursuing a physics degree will require more than just a passing interest in physics or astronomy..
Complex analysis textbook
It's also used all the time in quantum field theory.
But for elementary quantum mechanics, you're correct that it doesn't come up very often because one typically considers complex wavefunctions whose domains are configuration space, not the complex plane..
What is complex analysis in physics?
Complex analysis is used to solve the CPT Theory (Charge, Parity and Time Reversal), as well as in conformal field theory and in the Wick's Theorem.
Complex variables are also a fundamental part of QM as they appear in the Wave Equation.
String Theory: Indeed, Complex Analysis shows up in abundance in String theory..

These notes are meant to accompany a graduate level physics course, to provide a basic introduction to the necessary concepts in complex

Complex analysis book