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Cited by 1,084

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum

Lieb, Elliott H.·1963·Physical Review
DOI 10.1103/physrev.130.1616
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Abstract

We continue the analysis of the one-dimensional gas of Bose particles interacting via a repulsive delta function potential by considering the excitation spectrum. Among other things we show that: (i) the elementary excitations are most naturally thought of as a double spectrum, not a single one; (ii) the velocity of sound derived from the macroscopic compressibility is shown to agree with the velocity of sound derived from microscopic considerations, i.e., from the phonon spectrum. We also introduce a distinction between elementary excitations and quasiparticles, on the basis of which we give some heuristic reasons for expecting the double spectrum to be a general feature, even in three dimensions, and not an exception.

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Metadata

Authors
Lieb, E. H.
Venue
Physical Review
Publisher
American Physical Society (APS)
Published
1963-05-15
Volume
130
Issue
4
Pages
1616-1624
ISSN
0031-899X (ISSN-L)
DOI
10.1103/physrev.130.1616
OpenAlex
W1966742966
Cited by
1,084
References
5
FWCI
3.15
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum. https://app.cochat.ai/papers/10.1103/physrev.130.1616
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Lieb, E. H. (1963). Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum. Physical Review. https://doi.org/10.1103/physrev.130.1616

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.