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Re: Simple expression won't simplify
*To*: mathgroup at smc.vnet.net
*Subject*: [mg48976] Re: Simple expression won't simplify
*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
*Date*: Fri, 25 Jun 2004 17:52:18 -0400 (EDT)
*Organization*: Universitaet Leipzig
*References*: <cbgjg5$cfg$1@smc.vnet.net>
*Reply-to*: kuska at informatik.uni-leipzig.de
*Sender*: owner-wri-mathgroup at wolfram.com
Hi,
Sqrt[m^2/(m^2 + t^2*\[Alpha]^2*\[HBar]^2)]*
(Sqrt[\[Alpha]]/Sqrt[(m^2*\[Alpha])/(m^2 + t^2*\[Alpha]^2*
\[HBar]^2)]) /. Sqrt[a_]*Sqrt[b_] :> Sqrt[a*b]
Regards
Jens
Peter Jay Salzman wrote:
>
> I have a sperically symmetric wavefunction Bra[r_,t_] and its complex
> conjugate Ket[r_,t_]. They're complex, but not overly complicated.
> Basically a time dependent Gaussian.
>
> When I do (parsed for readability):
>
> 4 Pi Integrate
> [
> r^2 Bra[r,t] Ket[r,t], {r, 0, Infinity},
> Assumptions -> { Re[m^2*\[Alpha]/(m^2 + t^2*\[Alpha]^2*\[HBar]^2)] > 0 }
> ] // FullSimplify
>
> I get:
>
> m^2
> sqrt{ a } sqrt{ ------------------- }
> m^2 + t^2 a^2 h^2
>
> ---------------------------------------
> m^2 a
> sqrt{ ------------------- }
> m^2 + t^2 a^2 h^2
>
> How do I coax Mathematica to admit this expression is 1?
>
> Thanks!
> Pete
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