Geodesic
Asymptotically exact solutions for systems with singular potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 266-279 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that for quantum-mechanicaI systems with singular attractive potentials the Hartree approximation is realized exactly in the asymptotic limit of a large number $N$ of particles. The one-particle Hartree solutions are also asymptotically exact for systems with a bounded monotonic interaction potential. 
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     author = {I. V. Simenog},
     title = {Asymptotically exact solutions for systems with singular potentials},
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I. V. Simenog. Asymptotically exact solutions for systems with singular potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 266-279. http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a9/

[1] M. E. Fisher, D. Ruelle, J. Math. Phys., 7 (1966), 260 | DOI | MR

[2] F. J. Dyson, J. Math. Phys., 8 (1967), 1538 | DOI | MR

[3] F. J. Dyson, A. Lenard, J. Math. Phys., 8 (1967), 423 | DOI | MR | Zbl

[4] A. Lenard, F. J. Dyson, J. Math. Phys., 9 (1968), 698 | DOI | MR | Zbl

[5] Jean-Marc Levy-Leblond, J. Math. Phys., 10 (1969), 806 | DOI

[6] I. V. Simenog, Phys. Letters, 40B (1972), 53 | DOI | MR

[7] I. V. Simenog, YaF, 10 (1969), 281

[8] R. P. Feynman, Phys. Rev., 94 (1954), 262 | DOI | Zbl

[9] I. V. Simenog, YaF, 1968 (7), 992