量子場の模型における基底状態の縮退度に関する解析

船川, 大樹

doi:10.14943/doctoral.k12230

書誌事項

タイトル: 量子場の模型における基底状態の縮退度に関する解析

タイトル別名

Analysis on the Degeneracy of the Ground State in Quantum Field Models

著者: 船川, 大樹

学位授与大学: 北海道大学

取得学位: 博士(理学)

学位授与番号: 甲第12230号

学位授与年月日: 2016-03-24

説明

Axiomatic abstract formulations are presented to derive upper bounds on the degeneracy of the ground state in quantum field models including massless ones. In particular, given is a sufficient condition under which the degeneracy of the ground state of the perturbed Hamiltonian is less than or equal to the degeneracy of theground state of the unperturbed one. Applications of the abstract theory to models in quantum field theory are outlined.