A Microscopic Approach to Superfluidity and Superconductivity
Journal Article
·
· Journal of Mathematical Physics
Properties of interacting Bose gases and superconductors are presented. Attempts to derive from fundamental principles, several aspects of the macroscopic two-fluid model of London, Landau, and Tisza, the Landau phonon spectrum for bosons, and the structured condensate envisaged by Onsager and Feynman are discussed. New results were obtained concerning: methods for calculating properties of large, but not necessarily infinite, condensed systems at finite temperatures; methods for performing calculations in boson systems consistent with current conservation and sum rules; results obtained by these methods for the phonon spectrum; more accurate results for the less physical single-particle spectrum at finite temperatures; results obtained for the macroscopically structured condensate in rotating systems that agree with the macroscopically inferred results in Feynman and Onsager; results that treat depletion of the condensate as a result of interaction consistentiy and verity that the superfluid density, as operationally determined, is not correspondingly depleted; methods in which the entropy plays a central role, for casting the macroscopic theory in a form that lays stress on the renormalized excitations of renormalized interactions; the almost identical features of the mathematics for condensed Fermi and Bose systems; a restatement, in this microscopic transcription, of the Feynman-Onsager argument for flux and vorticity quantization. (auth)
- Research Organization:
- Harvard Univ., Cambridge, Mass.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-020689
- OSTI ID:
- 4720032
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 4; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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