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MathGroup Archive 2004

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Re: Simple expression won't simplify

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48982] Re: [mg48952] Simple expression won't simplify
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Fri, 25 Jun 2004 17:52:27 -0400 (EDT)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

Add an assumption to the simplification of the result of the integration

expr=Sqrt[a]*Sqrt[m^2/(m^2+t^2*a^2*h^2)]/Sqrt[(m^2*a)/
(m^2+t^2*a^2*h^2)];

Simplify[expr, a>=0]

1

expr // Simplify[#, a>=0]&

1


Bob Hanlon

> 
> From: p at dirac.org (Peter Jay Salzman)
To: mathgroup at smc.vnet.net
> Date: 2004/06/25 Fri AM 02:58:16 EDT
> To: mathgroup at smc.vnet.net
> Subject: [mg48982] [mg48952] Simple expression won't simplify
> 
> 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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