Critical analysis of the Bogoliubov theory of superfluidity

Adams, S; Bru, J.-B

Critical analysis of the Bogoliubov theory of superfluidity

S Adams and J.-B Bru

Physica A: Statistical Mechanics and its Applications, 2004, vol. 332, issue C, 60-78

Abstract: The microscopic theory of superfluidity (J. Phys. (USSR) 11 (1947) 23; Izv. Akad. Nauk USSR 11 (1947) 77; Bull. Moscow State Univ. 7 (1947) 43) was proposed by Bogoliubov in 1947 to explain the Landau-type excitation spectrum of 4He. An analysis of the Bogoliubov theory has already been done in the recent review (Phys. Rep. 350 (2001) 291). Here we perform a new constructive critical analysis of this theory in order to come to a better model. For this we briefly review the existing theory and carefully point out the weak points to settle a new approach. This leads us to consider the superstable Bogoliubov model (J. Phys. A 25 (1992) 3473). Thus, this constructive analysis is the origin of an improvement of the previous theory for which we verify the physical arguments.

Keywords: Bogoliubov; Helium; Superfluidity; Landau-excitation spectrum; Bose–Einstein condensation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:332:y:2004:i:c:p:60-78

DOI: 10.1016/j.physa.2003.10.031

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