---
OA_place: repository
OA_type: green
_id: '22292'
abstract:
- lang: eng
  text: We show that a suitable choice of boundary conditions for the Laplacian allows
    for the appearance of an arbitrary number of condensates, described by arbitrary
    harmonic functions, in the thermodynamic limit of an ideal Bose gas.
acknowledgement: We are grateful to Rupert Frank and Jakob Yngvason for helpful discussions
  and suggestions.
article_number: '061901'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Michiel
  full_name: De Wilde, Michiel
  id: bebf1407-6635-11f0-9fef-9b7e2dd151d0
  last_name: De Wilde
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: De Wilde M, Seiringer R. Arbitrary harmonic functions as Bose–Einstein condensates.
    <i>Journal of Mathematical Physics</i>. 2026;67(6). doi:<a href="https://doi.org/10.1063/5.0325354">10.1063/5.0325354</a>
  apa: De Wilde, M., &#38; Seiringer, R. (2026). Arbitrary harmonic functions as Bose–Einstein
    condensates. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0325354">https://doi.org/10.1063/5.0325354</a>
  chicago: De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions
    as Bose–Einstein Condensates.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2026. <a href="https://doi.org/10.1063/5.0325354">https://doi.org/10.1063/5.0325354</a>.
  ieee: M. De Wilde and R. Seiringer, “Arbitrary harmonic functions as Bose–Einstein
    condensates,” <i>Journal of Mathematical Physics</i>, vol. 67, no. 6. AIP Publishing,
    2026.
  ista: De Wilde M, Seiringer R. 2026. Arbitrary harmonic functions as Bose–Einstein
    condensates. Journal of Mathematical Physics. 67(6), 061901.
  mla: De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions as Bose–Einstein
    Condensates.” <i>Journal of Mathematical Physics</i>, vol. 67, no. 6, 061901,
    AIP Publishing, 2026, doi:<a href="https://doi.org/10.1063/5.0325354">10.1063/5.0325354</a>.
  short: M. De Wilde, R. Seiringer, Journal of Mathematical Physics 67 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: Data sharing is not applicable to this article as no new
  data were created or analyzed in this study.
date_created: 2026-07-13T09:45:09Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-07-13T12:20:59Z
day: '01'
department:
- _id: RoSe
- _id: GradSch
doi: 10.1063/5.0325354
external_id:
  arxiv:
  - '2601.22883'
intvolume: '        67'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2601.22883
month: '06'
oa: 1
oa_version: Preprint
publication: Journal of Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: not applicable
title: Arbitrary harmonic functions as Bose–Einstein condensates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2026'
...