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Re: symbolic integration of wave functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg117022] Re: symbolic integration of wave functions
  • From: Daniel Lichtblau <danl at wolfram.com>
  • Date: Tue, 8 Mar 2011 05:33:13 -0500 (EST)

chris pichon wrote:
> Hello,
> 
> Has anybody found the following problem with this integral in Mathematica 8 ?
> 
> Integrate[ Sin[x] Exp[ I k  Cos[x - y]], {x,  0, 2 Pi}]
> 
> which produces 0, which is incorrect as it should match
> 
> Integrate[Sin[x + y] Exp[I k Cos[x]], {x, 0, 2 Pi}]
> 
> 2 I Pi BesselJ[1, k] Sin[y]
> 
> 
> Cheers,
> 
> Chris

This turns out to be the same bug as was reported here.

http://forums.wolfram.com/mathgroup/archive/2011/Feb/msg00480.html

Also see:
http://forums.wolfram.com/mathgroup/archive/2011/Feb/msg00693.html

Upshot is we'll get it at least to return unevaluated, if we cannot 
manage to make it return the preferred result.


Daniel Lichtblau
Wolfram Research


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