Cauchy–Binet Determinantal Identity and Enumeration of Plane Partitions in a High Box

The amplitudes of the leading asymptotics of the XX 0 Heisenberg spin chain depend on the generating function of plane partitions with the additional conditions. In our paper we apply the Cauchy–Binet determinantal identity for derivation of the generating function of plane partitions with the fixed...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-09, Vol.275 (3), p.239-248
Main Authors: Bogoliubov, N. M., Malyshev, C. L.
Format: Article
Language:English
Subjects:
Enumeration
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The amplitudes of the leading asymptotics of the XX 0 Heisenberg spin chain depend on the generating function of plane partitions with the additional conditions. In our paper we apply the Cauchy–Binet determinantal identity for derivation of the generating function of plane partitions with the fixed conjugate trace in a high box.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06676-8