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• W1899041330 abstract "So far, the well known two branches of real discrete spectrum of complex PT-symmetric Scarf II potential are kept isolated. Here, we suggest that these two need to be brought together as doublets: $E^n_{pm}(lambda)$ with $n=0,1,2...$. Then if strength $(lambda)$ of the imaginary part of the potential is varied smoothly some pairs of real eigenvalue curves can intersect and cross each other at $lambda=lambda_{*}$; this is unlike one dimensional Hermitian potentials. However, we show that the corresponding eigenstates at $lambda=lambda_{*}$ are identical or linearly dependent denying degeneracy in one dimension, once again. Other pairs of eigenvalue curves coalesce to complex-conjugate pairs completing the scenario of spontaneous breaking of PT-symmetry at $lambda=lambda_{c}$. To re-emphasize, sharply at $lambda=lambda_{*}$ and $lambda_{c}$, two real eigenvalues coincide, nevertheless their corresponding eigenfunctions become identical or linearly dependent and the Hamiltonian looses diagonalizability." @default.
• W1899041330 created "2016-06-24" @default.
• W1899041330 creator A5023023198 @default.
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• W1899041330 date "2015-10-01" @default.
• W1899041330 modified "2023-10-14" @default.
• W1899041330 title "Accidental crossings of eigenvalues in the one-dimensional complex PT-symmetric Scarf-II potential" @default.
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• W1899041330 doi "https://doi.org/10.1016/j.physleta.2015.06.024" @default.
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