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MathGroup Archive 2004

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Simple expression won't simplify

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48952] Simple expression won't simplify
  • From: p at dirac.org (Peter Jay Salzman)
  • Date: Fri, 25 Jun 2004 02:58:16 -0400 (EDT)
  • Reply-to: p at dirac.org
  • Sender: owner-wri-mathgroup at wolfram.com

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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