Density Functionals of Kinetic Energy

When the electronic density is seen as the diagonal element p(r ) = p(r, r,) the kinetic energy may be generally expressed from the Hartree-Fock model, through employing the single determinant p(r,r), as the quantity (Lee Parr, 1987)  

For instance, in LDA approximation, the temperature at a point is assumed as a function of the density in that point, )3(r) = j8(p(r)) this may be easily reached out by employing the scaling transformation to be (Ou-Yang Levy, 1990) 

Quantum Nanochemistry-Volume I Quantum Theory and Observability 

Actually, the different LDA particular cases are derived by equating the total number of particle A with various realization of the integral 

The option in choosing the T(r,5) series (4.420) so that to converge in the sense of charge particle integral (4.419) fixes the possible cases to be considered (Lee Parr, 1987)  

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