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Titolo:
Microscopic theory of superfluid helium (Reprinted from Annals of Physics,vol 34, pg 291-359, 1965)
Autore:
Hohenberg, PC; Martin, PC;
Indirizzi:
Harvard Univ, Cambridge, MA 02138 USA Harvard Univ Cambridge MA USA 02138Harvard Univ, Cambridge, MA 02138 USA Ecole Normale Super, Phys Lab, F-75231 Paris, France Ecole Normale Super Paris France F-75231 Phys Lab, F-75231 Paris, France
Titolo Testata:
ANNALS OF PHYSICS
fascicolo: 1-2, volume: 281, anno: 2000,
pagine: 636 - 705
SICI:
0003-4916(200004/05)281:1-2<636:MTOSH(>2.0.ZU;2-R
Fonte:
ISI
Lingua:
ENG
Tipo documento:
Reprint
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
62
Recensione:
Indirizzi per estratti:
Indirizzo: Hohenberg, PC Bell Telephone Lab, Murray Hill, NJ USA Bell Telephone Lab Murray Hill NJ USA Murray Hill, NJ USA
Citazione:
P.C. Hohenberg e P.C. Martin, "Microscopic theory of superfluid helium (Reprinted from Annals of Physics,vol 34, pg 291-359, 1965)", ANN PHYSICS, 281(1-2), 2000, pp. 636-705

Abstract

This paper discusses the properties of an interacting condensed Bose system, emphasizing those aspects which do not depend on the weakness of the potential, and which therefore apply to superfluid helium. A physical and mathematical characterization of Bose condensation is presented in terms of an additional macroscopic quantity, the wave function of the condensed mode, which is defined in terms of microscopic quantities. It is shown that in equilibrium the assumption of Bose condensation leads to a two-fluid model. The hydrodynamic generalization applicable to slowly varying disturbances from equilibrium is then discussed and rigorous microscopic expressions are derived for the parameters of this theory (including dissipative coefficients). The elementary excitation spectrum in this collision dominated regime isexhibited. The Landau quasi-particle theory is examined, as well as the relation of condensation and the excitation spectrum, to the property of superfluidity. Under certain regularity assumptions the form of the long-wavelength excitation spectrum at vanishing temperature is deduced. The corresponding derivation at finite temperature is presented and criticized. Finally,techniques are discussed for evaluating properties of the Bose system starting from the interaction potential. approximation schemes consistent with the conservation laws and with the absence of a gap in the elementary excitation spectrum are discussed. Previous approximations for the weakly interacting Bose gas are classified and summarized and additional approximations are examined. (C) 1965 Academic Press.

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Documento generato il 19/09/20 alle ore 09:04:59