Please use this identifier to cite or link to this item:
|Title:||2 × 2PT - Symmetric matrices and their applications|
|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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Mar 21, 2019
WEB OF SCIENCETM
checked on Mar 12, 2019
checked on Mar 2, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.