Recent content by KariK

  1. K

    Graduate Converting momentum sums to integrals in curved spacetime

    Well, nobody responded to this question and some time ago I understood the issue, so here is the answer for posterity. If you solve the Klein-Gordon equation for a scalar field, the answer depends on the phase: Phi = ...*e^(i*k.x)*..., where k is a constant and x is the comoving coordinate. We...
  2. K

    Graduate Converting momentum sums to integrals in curved spacetime

    I am studying particle pair production using Parker and Toms book: Quantum Field Theory in Curved Spacetime. On page 48 they talk about converting the sum over momentum (k) into an integral. You assume boundary conditions so that k = 2*Pi*n/L, where n is an integer and L is the coordinate...
  3. K

    Graduate Bessel functions of imaginary order

    Thank you jedishrfu for moving this thread to a more appropriate place. While I got the Bessel equation from physics, the topic is indeed more math than physics. And thank you Paul Colby for confirming my assumptions.
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    Graduate Bessel functions of imaginary order

    In Wikipedia article on Bessel functions there is an integral definition of “non-integer order” a (“alpha”). For imaginary order ia I get that Jia* = J-ia, where * is complex conjugate and ia and -ia are subscripts. Then in same article there is a definition of Neumann function, again for...