Geodesic
Sevaration of “normal” and “superfluid” mctions in the Schrödinger equation by means of the method of displacements and collective variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 90-107 Cet article a éte moissonné depuis la source Math-Net.Ru

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By the application of a displacement transformation, the wave function of a system of interacting bosons is represented by the product of the ground-state wave function and a function that describes the presence of excitations in the system. The equations obtained for these functions are solved in the representation of collective variables by a special method of perturbation theory that does not contain divergences. An investigation is made of the resulting expressions for the wave functions, ground-state energy, energy spectrum, and damping of collective excitations. 
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     title = {Sevaration of {\textquotedblleft}normal{\textquotedblright} and {\textquotedblleft}superfluid{\textquotedblright} mctions in the {Schr\"odinger} equation by means of the method of displacements and collective variables},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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I. A. Vakarchuk; I. R. Yukhnovskii. Sevaration of “normal” and “superfluid” mctions in the Schrödinger equation by means of the method of displacements and collective variables. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 90-107. http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a9/

[1] N. N. Bogolyubov, Izv. AN SSSR, ser. fiz., 11 (1947), 77 | MR

[2] N. N. Bogolyubov, D. N. Zubarev, ZhETF, 28 (1955), 129 | MR | Zbl

[3] I. R. Yukhnovskii, Preprint ITF-71-26 P, Kiev, 1971

[4] D. N. Zubarev, DAN SSSR, 15 (1954), 757 | MR

[5] I. R. Yukhnovskii, UFZh, 12 (1967), 1674 | MR

[6] I. R. Yukhnovskii, ZhETF, 34 (1958), 379

[7] I. R. Yukhnovskii, I. A. Vakarchuk, Preprint ITF-72-135 P, Kiev, 1972 | MR

[8] A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, 1962 | MR | Zbl

[9] L. P. Pitaevskii, ZhETF, 36 (1959), 1168 | Zbl

[10] S. T. Belyaev, ZhETF, 34 (1958), 433 | Zbl

[11] R. P. Feynman, M. Cohen, Phys. Rev., 102 (1956), 1189 | DOI | Zbl

[12] K. Brueckner, Phys. Rev., 156 (1967), 204 | DOI

[13] N. Ahlberendt, Ann. Phys., 26 (1971), 208 | DOI

[14] D. K. Lee, Phys. Rev., A3 (1971), 345 | DOI | Zbl