Published February 18, 2005
| Version v1
Journal article
A method for construction of the matrix solvable models
Creators
- 1. Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Trojanova 13, 120 00 Prague 2 (Czech Republic)
- 2. Department of Mathematics, Faculty of Transportation Sciences, Czech Technical University, Na Florenci 25, 110 00 Prague (Czech Republic)
Description
We give a method for construction of the solvable models. The method is based on an idea of Turbiner's to transform the Hamiltonian into a simple solvable form. This method gives a possibility of constructing some matrix models. We apply this method to the models of the Calogero type and obtain solvable models of the three-particle system with the matrix 2 x 2 potential, which was constructed by Polychronakos, and a new model with the matrix 3 x 3 potential
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/1533/a5_7_008.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/0305-4470/38/1533/a5_7_008.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/7/008;
- PII
- S0305-4470(05)87859-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 7
- Journal Page Range
- p. 1533-1542
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36046514
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- HAMILTONIANS; MATHEMATICAL SOLUTIONS; MATRICES; POTENTIALS; THREE-BODY PROBLEM
- Descriptors DEC
- MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; QUANTUM OPERATORS