User talk:Ciccio85

Wikipedia talk:Articles for creation/Thouless Theorem concern
Hi there, I'm HasteurBot. I just wanted to let you know that Wikipedia talk:Articles for creation/Thouless Theorem, a page you created, has not been edited in 6 months. The Articles for Creation space is not an indefinite storage location for content that is not appropriate for articlespace.

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Thank you for your attention. HasteurBot (talk) 02:06, 3 October 2013 (UTC)

Your draft article, Wikipedia talk:Articles for creation/Thouless Theorem


Hello Ciccio85. It has been over six months since you last edited your WP:AFC draft article submission, entitled "Thouless Theorem".

The page will shortly be deleted. If you plan on editing the page to address the issues raised when it was declined and resubmit it, simply and remove the  or  code. Please note that Articles for Creation is not for indefinite hosting of material deemed unsuitable for the encyclopedia mainspace.

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Thanks for your submission to Wikipedia, and happy editing. HasteurBot (talk) 18:02, 19 January 2014 (UTC)

Jeffreys Born Approximation
The partial wave scattering analysis gives the following modified Bessel Equation:


 * $$\left[\frac{d^2}{d^2r}+k^2-\frac{l(l+1)}{r^2}\right]\Psi_l(r)=U(r)\Psi_l(r)$$

where $$k^2$$ is the energy, $$l$$ is the eigenvalue of the angular momentum operator $$L^2$$ and $$U(r)$$ is the interaction potential. With the help of the outgoing Green's Function $$G^+_l(r,r')$$, the solution of this equation is


 * $$\Psi_l(r)=\tilde{\Psi}^{(0)}_l+\int_0^\infty{G^+_l(r,r')U(r')\Psi_l(r')d r'}$$

where $$ \tilde{\Psi}^{(0)}_l $$ is the solution of the unperturbed Bessel equation with $$U(r)=0$$. As you can see, the solution $$ \Psi(r)_l $$ appaears on both left and right of the last equation. An iterative solution to this problem is by successive substitution into the integrand, of the same expression $$ \Psi^{(0)}_l $$:



\begin{align} \Psi^{(0)}_l=\tilde{\Psi}^{(0)}_l(r)&+\int_0^\infty{G^{(+)}_l(r,r')U(r')\tilde{\Psi}^{ (0)}_l(r') d r'}\\ &+\int_0^\infty\int_0^\infty{G^{(+)}_l(r,r')U(r')G^{(+)}_l(r',r)U(r)\tilde{\Psi}^{(0)}_l(r)d r' d r}+...\\ \end{align} $$ or in a short notation:



\Psi_l=(1+G^{(+)}_lU+G^{(+)}_lUG^{(+)}_lU+...)\tilde{\Psi}_l^{(0)} $$

Wikipedia talk:Articles for creation/Thouless Theorem concern
Hi there, I'm HasteurBot. I just wanted to let you know that Wikipedia talk:Articles for creation/Thouless Theorem, a page you created, has not been edited in 6 months. The Articles for Creation space is not an indefinite storage location for content that is not appropriate for articlespace.

If your submission is not edited soon, it could be nominated for deletion. If you would like to attempt to save it, you will need to improve it.

You may request Userfication of the content if it meets requirements.

If the deletion has already occured, instructions on how you may be able to retrieve it are available at WP:REFUND/G13.

Thank you for your attention. HasteurBot (talk) 01:31, 24 August 2014 (UTC)

Wikipedia talk:Articles for creation/Thouless Theorem concern
Hi there, I'm HasteurBot. I just wanted to let you know that Wikipedia talk:Articles for creation/Thouless Theorem, a page you created, has not been edited in 6 months. The Articles for Creation space is not an indefinite storage location for content that is not appropriate for articlespace.

If your submission is not edited soon, it could be nominated for deletion. If you would like to attempt to save it, you will need to improve it.

You may request Userfication of the content if it meets requirements.

If the deletion has already occured, instructions on how you may be able to retrieve it are available at WP:REFUND/G13.

Thank you for your attention. HasteurBot (talk) 01:31, 24 August 2014 (UTC)

Wikipedia talk:Articles for creation/Thouless Theorem concern
Hi there, I'm HasteurBot. I just wanted to let you know that Wikipedia talk:Articles for creation/Thouless Theorem, a page you created, has not been edited in 6 months. The Articles for Creation space is not an indefinite storage location for content that is not appropriate for articlespace.

If your submission is not edited soon, it could be nominated for deletion. If you would like to attempt to save it, you will need to improve it.

You may request Userfication of the content if it meets requirements.

If the deletion has already occured, instructions on how you may be able to retrieve it are available at WP:REFUND/G13.

Thank you for your attention. HasteurBot (talk) 01:31, 1 September 2014 (UTC)

Your draft article, Wikipedia talk:Articles for creation/Thouless Theorem


Hello Ciccio85. It has been over six months since you last edited your WP:AFC draft article submission, entitled "Thouless Theorem".

The page will shortly be deleted. If you plan on editing the page to address the issues raised when it was declined and resubmit it, simply and remove the  or  code. Please note that Articles for Creation is not for indefinite hosting of material deemed unsuitable for the encyclopedia mainspace.

If your submission has already been deleted by the time you get there, and you want to retrieve it, copy this code:, paste it in the edit box at this link , click "Save page", and an administrator will in most cases undelete the submission.

Thanks for your submission to Wikipedia, and happy editing. HasteurBot (talk) 14:01, 1 October 2014 (UTC)