Bosonic quadratic Hamiltonians
Bosonic quadratic Hamiltonians
复制标题
玻色二次哈密顿量
DOI：
10.1063/1.5017931
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发表时间：
2016
影响因子：
1.3
通讯作者：
J. Derezi'nski
中科院分区：
文献类型：
--
作者：
J. Derezi'nski
讨论了玻色产生和湮灭算符中由二次表达式形式化给出的自伴算符。我们给出的条件时，他们可以被定义为自伴运营商，可能经过无限重整化。我们还讨论了它们的下确界的显式公式。我们的主要动机来自于局域量子场论，它给出了需要无限重正化的玻色子二次哈密顿量的有趣例子。
We discuss self-adjoint operators given formally by expressions quadratic in bosonic creation and annihilation operators. We give conditions when they can be defined as self-adjoint operators, possibly after an infinite renormalization. We also discuss explicit formulas for their infimum. Our main motivation comes from local quantum field theory, which furnishes interesting examples of bosonic quadratic Hamiltonians that require an infinite renormalization.