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Applications of Complex Analysis in Quantum Physics?

  • Thread starter Tacos
  • Start date
Hi,

I just finished up a Complex Analysis course last term and, though I'm no physics major, I thought Quantum Physics looked interesting.

Does anyone know some common or interesting applications of Complex Analysis within Quantum Physics? Or even an online resource that might delve into one or two of these applications?

Thanks for any assistance!
 

malawi_glenn

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Green's functions in scattering theory and propagators:

http://en.wikipedia.org/wiki/Propagator

http://www.oberlin.edu/physics/dstyer/StrangeQM/Klein-Gordon.pdf

One does this to ensure causality.

In quantum field theory, a lot of other integrals comes up where you have to know the tricks of Residue calculus to evaluate them.

Also one has 4-epsilon expansion for the dimensions of the Lagrangian/action, and there one uses analytical continuation.

http://books.google.se/books?id=XYtnGl9enNgC&pg=PA218&lpg=PA218&dq=analytical+continuation+quantum+field+theory&source=bl&ots=Olg59HVw8t&sig=efH2kYXiUWAY_lMTs7NPj9b6DSw&hl=sv&ei=EwK6SfCtLJCv-Abv-_3BBA&sa=X&oi=book_result&resnum=1&ct=result#PPA208,M1

page 208 and forward =)
 

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