Published July 15, 2005
| Version v1
Journal article
Dilatations and factorizable equations
Creators
- 1. Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609 (United States)
Description
In this paper, we show that the dilatation operator in one dimension can be used to enlarge the Lie algebra generated by the raising and lowering operators for some classes of special functions. As a result, we are able to derive new recursion relations and addition formulae for these functions. Furthermore, we derive generalized ladder operators for these functions under coordinate stretching and translations
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/6351/a5_28_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/0305-4470/38/6351/a5_28_007.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/28/007;
- PII
- S0305-4470(05)97075-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 28
- Journal Page Range
- p. 6351-6361
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36095731
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; COORDINATES; EQUATIONS; FUNCTIONS; LIE GROUPS; RECURSION RELATIONS
- Descriptors DEC
- MATHEMATICS; SYMMETRY GROUPS