二能级对模型的对偶代数结构
Dual algebraic structures for the two-level pairing model
摘要:
对偶关系明确地建立与哈密顿量和基础分类计划与数量守恒酉和数量非守恒拟自旋代数的两个层次的系统与配对相互作用。这些关系是在一个统一的制定玻色子和费米子系统,任意的,在一般情况下,不平等的两个层次的退化。说明性的计算进行比较玻色子和费米子量子相变。
英文摘要:
Duality relations are explicitly established relating the Hamiltonians and basis classification schemes associated with the number-conserving unitary and number-nonconserving quasispin algebras for the two-level system with pairing interactions. These relations are obtained in a unified formulation for both bosonic and fermionic systems, with arbitrary and, in general, unequal degeneracies for the two levels. Illustrative calculations are carried out comparing the bosonic and fermionic quantum phase transitions.
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