Geodesic
Connection between lattice and continuum models for one-dimensional systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 219-230 Cet article a éte moissonné depuis la source Math-Net.Ru

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The correspondence between lattice and continuum models is investigated for the example of a one-dimensional system that includes interacting bosons and fermions. The results of numerical analysis of the lattice system are compared with the results of possible continuum models. A continuum model that makes it possible to explain the asymmetric solition shape, boundary effects, and other results obtained on the lattice is constructed. 
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     author = {V. A. Il'ina and P. K. Silaev},
     title = {Connection between lattice and continuum models for one-dimensional systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--230},
     year = {1992},
     volume = {93},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a2/}
}
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V. A. Il'ina; P. K. Silaev. Connection between lattice and continuum models for one-dimensional systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 219-230. http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a2/

[1] Su W. P., Schrieffer J. R., Heeger A. J., Phys. Rev. B, 22:4 (1980), 2099–2111 ; Phys. Rev. Lett., 42:2 (1979), 1698–1701 | DOI | DOI

[2] Takayama H., Lin-Liu Y. R., Maki K., Phys. Rev. B, 21:5 (1980), 2388–2393 | DOI | MR

[3] Gross D. J., Neveu A., Phys. Rev. D, 12:5 (1974), 2443–2451

[4] Jackiw R., Rebbi G., Phys. Rev. D, 13:9 (1976), 3398–3401 | DOI | MR

[5] Guinea F., Phys. Rev. B, 30:4 (1984), 1884–1890 | DOI

[6] Grella G., Mancini F., Marinaro M., Scarpetta G., Phys. Lett. A, 100:9 (1984), 482–484 | DOI