Published 1989
| Version v1
Journal article
A non-standard perturbative approach to the strong coupling problem
Description
A new method for constructing strong coupling expansion for quantum anhamonic oscillator model with power anharmonicity is proposed. The record number of coefficients of the strong coupling expression for ground and several first excited energy levels is calculated. The oscillative character of behaviour of these coefficient with increase of their ordinal number is demonstrated. It is shown that these oscillations are consequences from the existence of singularities in the complex plane of coupling constant. The locations of several first singularities are found. 1 fig., 3 tabs., 19 refs
Additional details
Publishing Information
- Journal Title
- Bulgarian Journal of Physics
- Journal Volume
- 16
- Journal Issue
- 2
- Series
- Bulg. J. Phys.
- Journal Page Range
- 137-150
- ISSN
- 0323-9217
- CODEN
- BJPHD
INIS
- Country of Publication
- Bulgaria
- Country of Input or Organization
- Bulgaria
- INIS RN
- 22079315
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Numerical Data
- Descriptors DEI
- ACCURACY; ANALYTIC FUNCTIONS; ANHARMONIC OSCILLATORS; ASYMPTOTIC SOLUTIONS; COUPLING CONSTANTS; EXCITED STATES; GROUND STATES; HAMILTONIANS; INTEGRAL TRANSFORMATIONS; INTERPOLATION; PERTURBATION THEORY; SINGULARITY; STRONG INTERACTIONS; STRONG-COUPLING MODEL; THEORETICAL DATA; WEAK-COUPLING MODEL
- Descriptors DEC
- BASIC INTERACTIONS; DATA; ENERGY LEVELS; FUNCTIONS; INFORMATION; INTERACTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; NUMERICAL DATA; NUMERICAL SOLUTION; PARTICLE MODELS; QUANTUM OPERATORS; TRANSFORMATIONS