Published April 22, 2005
| Version v1
Journal article
Remarks on the PT-pseudo-norm in PT-symmetric quantum mechanics
Creators
- 1. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste 34014 (Italy)
- 2. Department of Mathematics, Teacher Training College of Dalat, 29 Yersin, Dalat (Viet Nam)
Description
This paper presents an underlying analytical relationship between the PT-pseudo-norm associated with the PT-symmetric Hamiltonian H = p2 + V(q) and the Stokes multiplier of the differential equation corresponding to this Hamiltonian. We show that the sign alternation of the PT-pseudo-norm, which has been observed as a generic feature of the PT-inner product, is essentially controlled by the derivative of a Stokes multiplier with respect to the eigenparameter
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/3665/a5_16_014.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/0305-4470/38/3665/a5_16_014.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/16/014;
- PII
- S0305-4470(05)94063-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 16
- Journal Page Range
- p. 3665-3677
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096171
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; EIGENVALUES; HAMILTONIANS; P INVARIANCE; QUANTUM MECHANICS; STOKES PARAMETERS; T INVARIANCE
- Descriptors DEC
- EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS