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• W4220854500 abstract "In the popular ${cal PT}-$symmetry-based formulation of quantum mechanics of closed systems one can build unitary models using non-Hermitian Hamiltonians (i.e., $H neq H^dagger$) which are Hermitizable (so that one can write, simultaneously, $H = H^ddagger$). The essence of the trick is that the reference Hilbert space $cal R$ (in which we use the conventional inner product $langle psi_a|psi_brangle$ and write $H neq H^dagger$) is declared unphysical. The necessary Hermiticity of the Hamiltonian $H = H^ddagger$ can be then achieved by the mere metric-mediated amendment $langle psi_a|Theta|psi_brangle$ to the inner product. This converts $cal R$ into a correct physical Hilbert space $cal H$. The feasibility of the construction is based on a factorization postulate $Theta={cal PC}$ where, usually, ${cal P}$ is parity and ${cal C}$ is charge. In our paper we propose a more general factorization recipe in which one constructs $Theta=Z_NZ_{N-1}ldots Z_1$, at any $N$, in terms of suitable auxiliary pre-metric operators $Z_k$." @default.
• W4220854500 created "2022-04-03" @default.
• W4220854500 creator A5075251924 @default.
• W4220854500 date "2022-03-01" @default.
• W4220854500 modified "2023-10-16" @default.
• W4220854500 title "Feasibility and method of multi-step Hermitization of crypto-Hermitian quantum Hamiltonians" @default.
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• W4220854500 doi "https://doi.org/10.1140/epjp/s13360-022-02567-0" @default.
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