Non-Hermitian PT -symmetric and Hermitian Hamiltonians’ correspondence: Isospectrality and mass signature
نویسنده
چکیده
A transformation of the form x → ±iy ∈ iR; x, y ∈ R, or an equivalent similarity transformation with a metric operator η are shown to map non-Hermitian PT -symmetric Hamiltonians into Hermitian partner Hamiltonians in Hilbert space. Isospectrality and mass signature are also discussed. PACS codes: 03.65.Ge, 03.65.Ca
منابع مشابه
Non-Hermitian PT -symmetric and Hermitian Hamiltonians’ correspondence: A mass signature
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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