---
_id: '2359'
abstract:
- lang: eng
text: The validity of substituting a c-number z for the k = 0 mode operator a0 is
established rigorously in full generality, thereby verifying one aspect of Bogoliubov's
1947 theory. This substitution not only yields the correct value of thermodynamic
quantities such as the pressure or ground state energy, but also the value of
|z|2 that maximizes the partition function equals the true amount of condensation
in the presence of a gauge-symmetry-breaking term. This point had previously been
elusive.
author:
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Lieb É, Seiringer R, Yngvason J. Justification of c-number substitutions in
bosonic hamiltonians. Physical Review Letters. 2005;94(8). doi:10.1103/PhysRevLett.94.080401
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2005). Justification of c-number
substitutions in bosonic hamiltonians. Physical Review Letters. American
Physical Society. https://doi.org/10.1103/PhysRevLett.94.080401
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of
C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters.
American Physical Society, 2005. https://doi.org/10.1103/PhysRevLett.94.080401.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions
in bosonic hamiltonians,” Physical Review Letters, vol. 94, no. 8. American
Physical Society, 2005.
ista: Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions
in bosonic hamiltonians. Physical Review Letters. 94(8).
mla: Lieb, Élliott, et al. “Justification of C-Number Substitutions in Bosonic Hamiltonians.”
Physical Review Letters, vol. 94, no. 8, American Physical Society, 2005,
doi:10.1103/PhysRevLett.94.080401.
short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
date_created: 2018-12-11T11:57:12Z
date_published: 2005-03-04T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '04'
doi: 10.1103/PhysRevLett.94.080401
extern: 1
intvolume: ' 94'
issue: '8'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0412023
month: '03'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4566'
quality_controlled: 0
status: public
title: Justification of c-number substitutions in bosonic hamiltonians
type: journal_article
volume: 94
year: '2005'
...