Generalized Bloch band theory for non-Hermitian bulk–boundary correspondence
نویسندگان
چکیده
منابع مشابه
Non-commutative Bloch Theory
For differential operators which are invariant under the action of an abelian group Bloch theory is the preferred tool to analyze spectral properties. By shedding some new non-commutative light on this we motivate the introduction of a non-commutative Bloch theory for elliptic operators on Hilbert C-modules. It relates properties of C-algebras to spectral properties of module operators such as ...
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A transformation of the form x → iy; x, y ∈ R, or a Darbouxal-type similarity transformation with a metric operator η are shown to transform non-Hermitian PT -symmetric Hamiltonians (with positive mass m = + |m|) into their Hermitian partner Hamiltonians (with negative mass m = − |m|) in Hilbert space. PACS codes: 03.65.Ge, 03.65.Ca
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ژورنال
عنوان ژورنال: Progress of Theoretical and Experimental Physics
سال: 2020
ISSN: 2050-3911
DOI: 10.1093/ptep/ptaa100