Boson and Fermion Operator Realizations of Schur-Functions Appearing in Solvable Nonlinear Models

DOI Web Site Web Site BIBCODE 被引用文献1件 参考文献16件
  • Nomura Masao
    Institute of Physics, College of Arts and Sciences, University of Tokyo

書誌事項

タイトル別名
  • Boson and Fermion Operator Realizations

この論文をさがす

抄録

Aggregate creation (or annihilation) operators of one-dimensional spinless bosons are found as operator realization of Schur-functions i.e. Young diagrams. A unitary operator is introduced to transform the aggregate boson operator into the fermion operator that also acts as an operator form of the Young diagram. The fermion operator produces, in case it acts on vacuum, the uncoupled fermion state just describable in Sato’s Maya diagram. Further, characteristic of S-function comes out in such quantum-mechanical solvable models, a boson model of the present author and a simplified Tomonaga-Luttinger model. Usefulness of the unitary operator is demonstrated also as a partial restatement of the theory of Kadomtsev-Petviashvili equation.

収録刊行物

被引用文献 (1)*注記

もっと見る

参考文献 (16)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ