Re: Need help in Calculating Wavefunction Variance

On Tue, 29 Apr 2008 00:16:08 -0400, "Jay R. Yablon"
<jyablon@xxxxxxxxxxxx> wrote:

Dear Friends:

I am attempting to calculate the variance of a non-Gaussian
wavefunction:

psi(x) = exp [-(1/2)Ax^2-Bx]

in the general situation where A and B are *interdependent*, i.e., dA/dB
<> 0. I can do this easily when dA/dB=0, but not for dA/dB <> 0
generally.

[Hammond]
This is a distribution in a single variable (x) not a
bivariate distribution in two variables eg. (x,y).
In classical statistics the variance would be computed
directly from the definition of the standard deviation for a
function of a single variable. Assuming A and B do not
depend on x, it's simply a direct integration in one
variable.


On one ***, attached at:

http://jayryablon.files.wordpress.com/2008/04/non-gaussian-calculation.pdf
,

I have shown how far I am able to get. Does anyone have a clue how to
calculate through for the final terms in each of (2) and (3), presumably
by turning them into an ln expression but maybe via some other approach?

Please note, I have had trouble clicking the link above to open the
file, but have been able to right click and then download and view the
file. So, if you have trouble, that may be the solution.

[Hammond]
I have a new computer with DSL, and I was unable to open
up the above link.

Thanks.

Jay.
____________________________
Jay R. Yablon
Email: jyablon@xxxxxxxxxxxx
co-moderator: sci.physics.foundations
Weblog: http://jayryablon.wordpress.com/
Web Site: http://home.nycap.rr.com/jry/FermionMass.htm
.