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>
• 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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