Published August 9, 2002
| Version v1
Journal article
Generalized PT symmetry and real spectra
- 1. Department of Physics, Washington University, St. Louis, MO (United States)
- 2. Department of Physics, Washington University, St. Louis, MO (US)
- 3. H.H. Wills Physics Laboratory, Bristol (GB)
Description
The fact that eigenvalues of PT-symmetric Hamiltonians H can be real for some values of a parameter and complex for others is explained by showing that the matrix elements of H, and hence the secular equation, are real, not only for PT but also for any antiunitary operator A satisfying A2k=1 with k odd. The argument is illustrated by a 2x2 matrix Hamiltonian, and two examples of the generalization are given. (author). Letter-to-the-editor
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
- DOI
- 10.1088/0305-4470/35/31/101;
- PII
- S0305-4470(02)36702-7;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 31
- Journal Page Range
- p. L467-L471
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33043901
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENVALUES; HAMILTONIANS; MATRICES; MATRIX ELEMENTS; SYMMETRY
- Descriptors DEC
- MATHEMATICAL OPERATORS; QUANTUM OPERATORS
Optional Information
- Notes
- refs