The Rotor Model and Combinatorics

M. T. Batchelor; J. de Gier; B. Nienhuis

doi:10.1142/S0217979202011597

The Rotor Model and Combinatorics

数学物理 2009-11-07 v1 统计力学组合数学 math.MP

作者: M. T. Batchelor , J. de Gier , B. Nienhuis

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摘要

We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O( $n=1$ ) model we find the number $A_{\rm V}(2m+1;3)$ , which 3-enumerates vertically symmetric alternating sign matrices.

关键词

boundary conditions in quantum mechanics positive maps in quantum information

引用

@article{arxiv.math-ph/0204002,
  title  = {The Rotor Model and Combinatorics},
  author = {M. T. Batchelor and J. de Gier and B. Nienhuis},
  journal= {arXiv preprint arXiv:math-ph/0204002},
  year   = {2009}
}

备注

7 pages, Latex, WSPC macros, dedicated to Fred Wu's 70th birthday

The Rotor Model and Combinatorics

摘要

关键词

引用

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