For a physics major, what are the best books/references on Greens functions for self-studying?

My mathematical background is on the level of Mathematical Methods in the physical sciences by Mary Boas.

  • $\begingroup$ You should be more specific. There are Green's functions which are general linear kernels, and more specific uses in quantum mechanics, where the Greens' function is the energy representation of the propagator. $\endgroup$
    – Ron Maimon
    Jan 24 '12 at 23:36
  • 2
    $\begingroup$ For the love of all that is good pedagogy, you should first make sure you understand the equivalent of a Green function in a finite vector space, i.e. with matrices. If you do this, everything else will be incredibly obvious. $\endgroup$
    – DanielSank
    Feb 4 '16 at 8:31
  • $\begingroup$ @DanielSank, what do you mean by "equivalent of a Green function in a finite vector space, i.e. with matrices"? Matrix <=> differential operator and G <=> M^{-1}? $\endgroup$
    – bernander
    Oct 20 '20 at 8:03
  • $\begingroup$ @bernander Yes, more or less. $\endgroup$
    – DanielSank
    Oct 20 '20 at 16:04

You may want to refer to Jackson's 'Classical Electrodynamics' for several examples of solutions using Green functions. I also found chapter 7 of 'Mathematics for classical and quantum physics' by Byron and Fuller quite helpful. Its title itself is 'Green functions'.


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