Re: Please help!
- To: mathgroup at smc.vnet.net
- Subject: [mg28655] Re: Please help!
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Sat, 5 May 2001 04:00:41 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <9ctbb7$m4s@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
can you please look at the manual to see that T_0 is a pattern
that never matches and iwT is a single symbol and not I*w*T and
find out that Sqrt[-1] is denoted by I and not by i ?
If you know all that you can type
Y = Integrate[Exp[-T^2/(2T0^2)]Exp[I*w*T], {T, -Infinity, Infinity},
Assumptions -> {Element[{T0, w}, Reals] && T0 > 0}]
and get
(Sqrt[2*Pi]*T0)/E^((T0^2*w^2)/2)
Regards
Jens
Rex wrote:
>
> Dear Sir,
> I wonder why I can't get the analytic form of the following integration by Mathematica:
> In[1] = Y=Integrate[Exp[-T^2/(2T_0^2)]Exp[iwT], {T, -Infinity,
> Infinity}]
> In[2] = Integrate[YExp[beta2*w^2*z-iwT],{w,-Infinity,Infinity}]
> Unforunately, the anwser given by Mathematica is the orginal formula
> I input.
> Would you please give me a hand?
>
> _____________________________________________