{"acknowledgement":"We are grateful to Rupert Frank and Jakob Yngvason for helpful discussions and suggestions.","status":"public","issue":"6","scopus_import":"1","dataavailabilitystatement":"Data sharing is not applicable to this article as no new data were created or analyzed in this study.","type":"journal_article","OA_place":"repository","_id":"22292","abstract":[{"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.","lang":"eng"}],"month":"06","article_number":"061901","external_id":{"arxiv":["2601.22883"]},"language":[{"iso":"eng"}],"OA_type":"green","publisher":"AIP Publishing","publication":"Journal of Mathematical Physics","citation":{"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).","ista":"De Wilde M, Seiringer R. 2026. Arbitrary harmonic functions as Bose–Einstein condensates. Journal of Mathematical Physics. 67(6), 061901.","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>.","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>","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>","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."},"intvolume":"        67","date_created":"2026-07-13T09:45:09Z","volume":67,"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2601.22883"}],"article_type":"original","oa":1,"date_updated":"2026-07-13T12:20:59Z","researchdata_availability":"not applicable","supplementarymaterial":"not applicable","oa_version":"Preprint","title":"Arbitrary harmonic functions as Bose–Einstein condensates","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"doi":"10.1063/5.0325354","quality_controlled":"1","date_published":"2026-06-01T00:00:00Z","day":"01","das_tickbox":"1","author":[{"id":"bebf1407-6635-11f0-9fef-9b7e2dd151d0","last_name":"De Wilde","full_name":"De Wilde, Michiel","first_name":"Michiel"},{"first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","arxiv":1,"corr_author":"1","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2026"}