I am working with a plasma simulation code, but physics of the code does not handle quantum Columb forces in small distance in the atom(between electron and proton) and treat them classically in every distance which does not seem true. I want to add an approximate formula of the force between electron and proton in atomic dimensions. I really don't want to solve Schroedinger equation so if you know where to find the code, guide me please.!?
Dear Dr. Heidary, see this paper, may help.
http://jcp.aip.org/resource/1/jcpsa6/v119/i22/p11556_s1?isAuthorized=no
You can find the expression in the book Quantum Statistics of Nonideal Plasma (Springer) by Kremp et al. pag 29 eq. 2.85. The equation is (neglecting the Debye-Huckel screening) V=Q/(r+a) that is coulomb potential with an hard core to avoid infinity of the coulomb potential. the radius a is considered equal to the L/8 where L is the thermal De Broglie wavelength. similar approach has been applied in REMC calculation by Lisal et al.
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