Non-Hermitian PT-symmetric and Hermitian Hamiltonians' correspondence: Isospectrality and mass signature

Details Non-Hermitian PT-symmetric and Hermitian Hamiltonians' correspondence: Isospectrality and mass signature Non-Hermitian PT-symmetric and Hermitian Hamiltonians' correspondence: Isospectrality and mass signature

2008-06-18

arxiv.org/abs/0806.2982v2

Physics

Quantum Physics

16 pages, no figures

Scientific paper

A transformation of the form x to iy; x,y in R, or an equivalent similarity
transformation with a metric operator $\eta$ are shown to transform
non-Hermitian PT-symmetric Hamiltonians into Hermitian partner Hamiltonians in
Hilbert space. Isospectrality and mass signature are discussed.

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