Published January 6, 2006
| Version v1
Journal article
An algorithmic test for diagonalizability of finite-dimensional PT-invariant systems
Creators
- 1. Department of Mathematics, University of York, Heslington, York YO10 5DD (United Kingdom)
Description
A non-Hermitian operator does not necessarily have a complete set of eigenstates, contrary to a Hermitian one. An algorithm is presented which allows one to decide whether the eigenstates of a given PT-invariant operator on a finite-dimensional space are complete or not. In other words, the algorithm checks whether a given PT-symmetric matrix is diagonalizable. The procedure neither requires to calculate any single eigenvalue nor any numerical approximation
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/235/a6_1_017.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/235/a6_1_017.pdf;
- DOI
- 10.1088/0305-4470/39/1/017;
- PII
- S0305-4470(06)05558-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 1
- Journal Page Range
- p. 235-245
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051537
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; APPROXIMATIONS; EIGENSTATES; EIGENVALUES; HERMITIAN OPERATORS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SPACE; MATRICES; P INVARIANCE; SYMMETRY; T INVARIANCE
- Descriptors DEC
- CALCULATION METHODS; INVARIANCE PRINCIPLES; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; SPACE