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https://doi.org/10.1098/rsta.2012.0045
| Title: | 2 × 2PT - Symmetric matrices and their applications | Authors: | Wang, Q.-H. | Keywords: | Berry phase Non-hermitian matrices PT symmetry |
Issue Date: | 28-Apr-2013 | Citation: | Wang, Q.-H. (2013-04-28). 2 × 2PT - Symmetric matrices and their applications. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371 (1989) : -. ScholarBank@NUS Repository. https://doi.org/10.1098/rsta.2012.0045 | Abstract: | Two formulations for constructing a non-Hermitian matrix with all real eigenvalues are studied. They are called PT symmetry and pseudo-Hermiticity in the literature. Explicit 2 × 2 matrices of both forms are provided. They are characterized by six real parameters and are hence more general than Hermitian matrices. The equivalence of the two formulations is established. A 2 × 2 matrix with all real eigenvalues is PT -symmetric and pseudo- Hermitian at the same time. The application in timedependent problems is discussed and a new geometry phase is obtained. © 2013 The Author(s) Published by the Royal Society. All rights reserved. | Source Title: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | URI: | http://scholarbank.nus.edu.sg/handle/10635/95594 | ISSN: | 1364503X | DOI: | 10.1098/rsta.2012.0045 |
| Appears in Collections: | Staff Publications |
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