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Izergin‐Korepin Analysis on the Projected Wavefunctions of the Generalized Free‐Fermion Model

Kohei Motegi

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: We apply the Izergin‐Korepin analysis to the study of the projected wavefunctions of the generalized free‐fermion model. We introduce a generalization of the L‐operator of the six‐vertex model by Bump‐Brubaker‐Friedberg and Bump‐McNamara‐Nakasuji. We make the Izergin‐Korepin analysis to characterize the projected wavefunctions and show that they can be expressed as a product of factors and certain symmetric functions which generalizes the factorial Schur functions. This result can be seen as a generalization of the Tokuyama formula for the factorial Schur functions.

Date: 2017
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https://doi.org/10.1155/2017/7563781

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