Geodesic
Sevaration of ``normal'' and ``superfluid'' mctions in the Schr\"odinger equation by means of the method of displacements and collective variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 90-107

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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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     author = {I. A. Vakarchuk and I. R. Yukhnovskii},
     title = {Sevaration of ``normal'' and ``superfluid'' 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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     number = {1},
     year = {1974},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a9/}
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I. A. Vakarchuk; I. R. Yukhnovskii. Sevaration of ``normal'' and ``superfluid'' mctions in the Schr\"odinger 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/