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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 2, Pages 193–203
DOI: https://doi.org/10.4213/tmf5973 (Mi tmf5973) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Enumeration of plane partitions and the algebraic Bethe anzatz

N. M. Bogolyubov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (399 kB) Citations (15)
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DOI: https://doi.org/10.4213/tmf5973
Abstract: We establish a relation between an exactly solvable boson model and plane partitions, i.e., three-dimensional Young diagrams enclosed in a box of finite size, which allows representing the partition generating functions as correlation functions of an integrable model and deriving the MacMahon formulas for enumerating partitions using the quantum inverse scattering method.
Keywords: integrable models, Bethe anzatz, plane partitions.
Received: 01.05.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 2, Pages 165–174
DOI: https://doi.org/10.1007/s11232-007-0012-5
Bibliographic databases:
Language: Russian
Citation: N. M. Bogolyubov, “Enumeration of plane partitions and the algebraic Bethe anzatz”, TMF, 150:2 (2007), 193–203; Theoret. and Math. Phys., 150:2 (2007), 165–174
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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