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|Title:||PT symmetry as a generalization of Hermiticity|
|Authors:||Wang, Q.-H. |
|Citation:||Wang, Q.-H., Chia, S.-Z., Zhang, J.-H. (2010). PT symmetry as a generalization of Hermiticity. Journal of Physics A: Mathematical and Theoretical 43 (29) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1751-8113/43/29/295301|
|Abstract:||The Hilbert space in PT -symmetric quantum mechanics is formulated as a linear vector space with a dynamic inner product. The most general PT - symmetric matrix Hamiltonians are constructed for the 2 × 2 and 3 × 3 cases. In the former case, the PT -symmetric Hamiltonian represents the most general matrix Hamiltonian with a real spectrum. In both cases, Hermitian matrices are shown to be special cases of PT -symmetric matrices. This finding confirms and strengthens the early belief that the PT -symmetric quantum mechanics is a generalization of the conventional Hermitian quantum mechanics. © 2010 IOP Publishing Ltd.|
|Source Title:||Journal of Physics A: Mathematical and Theoretical|
|Appears in Collections:||Staff Publications|
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