Abstract
It is shown that the excitation spectrum of a realistic superfluid Bose system (He II) can be derived from a purely microscopic RPA calculation involving a simple pseudopotential which contains the essential features of the exact interparticle potential, i.e., a repulsive core and an attractive well. The theory is founded on a temperature dependent single-particle picture introduced by a canonical transformation of the exact Hamiltonian and Bogoliubov's variational principle, which was presented in a foregoing work. The “phonon-roton” spectrum results from a certain term of the retarded density-density correlation function in the dispersion relation; the analogous term yields the plasma oscillations in a charged Fermi system.
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Project of the Sonderforschungsbereich Frankfurt/Darmstadt, financed by special funds of the Deutsche Forschungsgemeinschaft
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Dörre, P. Excitation spectrum of a condensed bose system. Z. Physik B - Condensed Matter 39, 1–9 (1980). https://doi.org/10.1007/BF01292630
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DOI: https://doi.org/10.1007/BF01292630