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- W1967561185 abstract "For a given pseudo-Hermitian Hamiltonian of the standard form: H=p2∕2m+v(x), we reduce the problem of finding the most general (pseudo-)metric operator η satisfying H†=ηHη−1 to the solution of a differential equation. If the configuration space is R, this is a Klein-Gordon equation with a nonconstant mass term. We obtain a general series solution of this equation that involves a pair of arbitrary functions. These characterize the arbitrariness in the choice of η. We apply our general results to calculate η for the PT-symmetric square well, an imaginary scattering potential, and a class of imaginary delta-function potentials. For the first two systems, our method reproduces the known results in a straightforward and extremely efficient manner. For all these systems we obtain the most general η up to second-order terms in the coupling constants." @default.
- W1967561185 created "2016-06-24" @default.
- W1967561185 creator A5032645613 @default.
- W1967561185 date "2006-07-01" @default.
- W1967561185 modified "2023-10-18" @default.
- W1967561185 title "Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation" @default.
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- W1967561185 doi "https://doi.org/10.1063/1.2212668" @default.
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