Published March 20, 2009
| Version v1
Journal article
Adding a complex shift to HVPT
Creators
- 1. Observatoire de Besancon-Institut UTINAM, CNRS UMR 6213, Universite de Franche-Comte, 41 bis Avenue de l'Observatoire BP1615, 25010 Besancon cedex (France) and Centre for Mathematics, Loten Building, University of Hull, Hull HU6 7RX (United Kingdom)
Description
A complex coordinate shift is incorporated in renormalized hypervirial perturbation theory. Test calculations on harmonic oscillators with cubic perturbations show that the resulting method produces accurate numerical results for the real energies of PT symmetric Hamiltonians with complex potentials and for the complex resonance energies of Hamiltonians with real potentials
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/42/11/115301Additional details
Identifiers
- DOI
- 10.1088/1751-8113/42/11/115301;
- PII
- S1751-8113(09)96732-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 42
- Journal Issue
- 11
- Journal Page Range
- [11 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40070887
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COORDINATES; HAMILTONIANS; HARMONIC OSCILLATORS; P INVARIANCE; PERTURBATION THEORY; POTENTIALS; RESONANCE; T INVARIANCE
- Descriptors DEC
- INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; QUANTUM OPERATORS