Published May 20, 2005
| Version v1
Journal article
How do supersingular perturbations generate non-Taylor series?
- 1. Department of Chemistry, University of Burdwan, Burdwan 713 104 (India)
- 2. Department of Theoretical Physics, Indian association for the Cultivation of Science, Jadavpur, Kolkata 700 032 (India)
Description
We show that a suitable choice of the zero-order problem can lead directly to the emergence of non-Taylor expansions in λ for the ground-state energies of the Hamiltonian family H(λ) = -∇2 + r2 + λ/rβ in regions β ≥ 3. The discussion includes the role of dimension and the right order parameter. The effect of choosing a more general potential of the form rα + λ/rβ is also considered. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/L331/a5_20_l01.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/L331/a5_20_l01.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/20/L01;
- PII
- S0305-4470(05)88546-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 20
- Journal Page Range
- p. L331-L336
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096047
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S74: ATOMIC AND MOLECULAR PHYSICS;
- Descriptors DEI
- EIGENSTATES; EIGENVALUES; GROUND STATES; HAMILTONIANS; ORDER PARAMETERS; PERTURBATION THEORY; POTENTIALS; QUANTUM MECHANICS; SERIES EXPANSION
- Descriptors DEC
- ENERGY LEVELS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS