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