Abstract:
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.
Citation:
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”, TMF, 18:1 (1974), 90–107; Theoret. and Math. Phys., 18:1 (1974), 63–75
\Bibitem{VakYuk74}
\by I.~A.~Vakarchuk, I.~R.~Yukhnovskii
\paper Sevaration of ``normal'' and ``superfluid'' mctions in the Schr\"odinger equation by means of the method of displacements and collective variables
\jour TMF
\yr 1974
\vol 18
\issue 1
\pages 90--107
\mathnet{http://mi.mathnet.ru/tmf3521}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 18
\issue 1
\pages 63--75
\crossref{https://doi.org/10.1007/BF01036928}
Linking options:
https://www.mathnet.ru/eng/tmf3521
https://www.mathnet.ru/eng/tmf/v18/i1/p90
This publication is cited in the following 13 articles:
Vakarchuk I.O., Pastukhov V.S., Prytula R.O., “Theory of Structure and Thermodynamic Function of Liquid He-4 (Review Article)”, Low Temp. Phys., 39:9 (2013), 741–751
P. Gulshani, “Derivation of microscopic uni-axial unified adiabatic Bohr–Mottelson rotational model”, Nuclear Physics A, 832:1-2 (2010), 18
I. A. Vakarchuk, “Density matrices of superfluid helium-4. I”, Theoret. and Math. Phys., 80:3 (1989), 983–991
I. A. Vakarchuk, P. A. Glushak, “Free energy of a many-boson system at low temperatures”, Theoret. and Math. Phys., 75:1 (1988), 399–408
G. O. Balabanyan, “Construction of theory of a binary mixture of nonideal Bose gases (or liquids) by the method of collective variables I. Wave function and ground-state energy, excitation spectrum, correlation functions, thermodynamics of the system at T=0”, Theoret. and Math. Phys., 66:1 (1986), 81–97
V. A. Onischuk, “Collective variables. Correlation functions on Gaussian functionals”, Theoret. and Math. Phys., 51:3 (1982), 582–593
V. Ya. Krivnov, A. A. Ovchinnikov, “Ground-state wave function of a one-dimensional weakly nonideal lattice Fermi gas”, Theoret. and Math. Phys., 47:1 (1981), 339–345
I. A. Vakarchuk, I. R. Yukhnovskii, “Microscopic theory of the energy spectrum of liquid HeII”, Theoret. and Math. Phys., 42:1 (1980), 73–80
I. A. Vakarchuk, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid He4. I”, Theoret. and Math. Phys., 40:1 (1979), 626–633
M. V. Vavrukh, “Mean energy and binary distribution function in the ground state of Bose systems”, Theoret. and Math. Phys., 35:2 (1978), 449–455
I. A. Vakarchuk, “Irreducible cluster expansion for the logarithm of the s-particle density matrix of a many-boson system”, Theoret. and Math. Phys., 32:2 (1977), 720–730
Yu. A. Tserkovnikov, “Calculation of the correlation functions of a nonideal Bose gas by the method of collective variables”, Theoret. and Math. Phys., 26:1 (1976), 50–61
I. A. Vakarchuk, “Density matrices of a many-Boson system at low temperatures”, Theoret. and Math. Phys., 23:2 (1975), 496–505
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