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Closed-Form Propagator of the Calogero Model
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0009-0008-0884-8643
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0001-7481-2245
2024 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 132, no 17, article id 170201Article in journal (Refereed) Published
Abstract [en]

We present a generalization of the Mehler kernel, providing the exact analytic time evolution of the Calogero model that describes bosons or fermions propagating on the real line with inverse-square two-body interactions and harmonic confinement. The key to our result is a simple relation between the exact propagator of the Calogero model and a Baker-Akhiezer function, together with explicit combinatorial formulas for the latter function.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2024. Vol. 132, no 17, article id 170201
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Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-346385DOI: 10.1103/PhysRevLett.132.170201ISI: 001224220800002PubMedID: 38728733Scopus ID: 2-s2.0-85191562572OAI: oai:DiVA.org:kth-346385DiVA, id: diva2:1857579
Note

QC 20240516

Available from: 2024-05-14 Created: 2024-05-14 Last updated: 2024-06-03Bibliographically approved

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Melin, ValdemarLangmann, Edwin

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