Recent advances in the theory of Bogoliubov Hamiltonians

Bosonic quadratic Hamiltonians, often called Bogoliubov Hamiltonians, play an important role in the theory of many-boson systems where they arise in a natural way as an approximation to the full many-body problem. In this note we would like to give an overview of recent advances in the study of boso...

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Bibliographic Details
Main Author Napiórkowski, Marcin
Format Journal Article
LanguageEnglish
Published 11.05.2018
Subjects
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Summary:Bosonic quadratic Hamiltonians, often called Bogoliubov Hamiltonians, play an important role in the theory of many-boson systems where they arise in a natural way as an approximation to the full many-body problem. In this note we would like to give an overview of recent advances in the study of bosonic quadratic Hamiltonians. In particular, we relate the reported results to what can be called the time-dependent diagonalization problem.
DOI:10.48550/arxiv.1805.04373