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- W2079760594 abstract "We present two examples of non-Hermitian Hamiltonians which consist of an unperturbed part plus a perturbation that behaves like a vector, in the framework of $mathcal {PT}$ quantum mechanics. The first example is a generalization of the recent work by Bender and Kalveks, wherein the E2 algebra was examined; here we consider the E3 algebra representing a particle on a sphere, and identify the critical value of coupling constant which marks the transition from real to imaginary eigenvalues. Next we analyze a model with SO(3) symmetry, and in the process extend the application of the Wigner-Eckart theorem to a non-Hermitian setting." @default.
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- W2079760594 date "2013-01-25" @default.
- W2079760594 modified "2023-10-16" @default.
- W2079760594 title "Vector Models in $mathcal{PT}$ Quantum Mechanics" @default.
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- W2079760594 doi "https://doi.org/10.1007/s10773-013-1493-7" @default.
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