Geodesic
Local scale transformation method for the ground state of many-particle systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 407-418

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A variational method is constructed that reduces the many-particle problem for the ground state of a quantum-mechanical system to the solution of one equation for the function of a local scale transformation. A theorem is proved that provides a rigorous basis of the widely used density functional method. For a fairly general form of the Hamiltonian of the system, stationarity equations are obtained explicitly together with a condition under which the solution minimizes the energy of the system. The possibility of practical application of the method is discussed. 
@article{TMF_1983_55_3_a6,
     author = {I. Zh. Petkov and M. V. Stoitsov},
     title = {Local scale transformation method for the ground state of many-particle systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {407--418},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a6/}
}
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I. Zh. Petkov; M. V. Stoitsov. Local scale transformation method for the ground state of many-particle systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 407-418. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a6/