2 × 2PT - Symmetric matrices and their applications

Please use this identifier to cite or link to this item: 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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