Published May 20, 2005
| Version v1
Journal article
Invariant eigenoperators and energy gap for some Hamiltonians describing photonic nonlinear interaction
Creators
- 1. CCAST (World Lab.), PO Box 8730, Beijing 100080 (China)
- 2. Department of Materials Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026 (China)
Description
On the basis of the Heisenberg equation of motion and Schroedinger's correspondence i d/dt ↔ H, we search for so-called invariant eigenoperators for some Hamiltonians describing photonic nonlinear interactions. In this way the energy-level gap of the Hamiltonians can be naturally obtained. The characteristic polynomial theory has been fully employed in our derivation
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/4391/a5_20_007.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/0305-4470/38/4391/a5_20_007.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/20/007;
- PII
- S0305-4470(05)88734-7;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 20
- Journal Page Range
- p. 4391-4398
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096041
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENVALUES; ENERGY GAP; ENERGY LEVELS; EQUATIONS OF MOTION; HAMILTONIANS; HEISENBERG PICTURE; INTERACTIONS; NONLINEAR PROBLEMS; POLYNOMIALS; SCHROEDINGER PICTURE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS