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Please use this identifier to cite or link to this item: https://doi.org/10.1098/rsta.2012.0045
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dc.title2 × 2PT - Symmetric matrices and their applications
dc.contributor.authorWang, Q.-H.
dc.date.accessioned2014-10-16T09:13:32Z
dc.date.available2014-10-16T09:13:32Z
dc.date.issued2013-04-28
dc.identifier.citationWang, 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
dc.identifier.issn1364503X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/95594
dc.description.abstractTwo 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1098/rsta.2012.0045
dc.sourceScopus
dc.subjectBerry phase
dc.subjectNon-hermitian matrices
dc.subjectPT symmetry
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1098/rsta.2012.0045
dc.description.sourcetitlePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.description.volume371
dc.description.issue1989
dc.description.page-
dc.identifier.isiut000316226200002
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