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