Published April 5, 2002
| Version v1
Journal article
Integrable systems of quartic oscillators in ordinary (three-dimensional) space
Creators
- 1. Dipartimento di Fisica, Universita di Roma 'La Sapienza' and Istituto Nazionale di Fisica Nucleare, Sezione di Roma (Italy)
Description
A class of completely integrable, and indeed solvable, Hamiltonian many-body problems are exhibited, characterized by rotation-invariant Newtonian equations of motion ('acceleration equals force'), with linear and cubic forces, in ordinary (three-dimensional) space. The corresponding Hamiltonians are of normal type, with the kinetic energy quadratic in the canonical momenta and the potential energy quadratic and quartic in the canonical coordinates. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 13
- Journal Page Range
- p. 3091-3098
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33026928
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CANONICAL DIMENSION; EQUATIONS OF MOTION; EUCLIDEAN SPACE; HAMILTONIANS; INTEGRAL CALCULUS; KINETIC ENERGY; MANY-BODY PROBLEM; NEWTON METHOD; OSCILLATORS; POTENTIAL ENERGY; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELECTRONIC EQUIPMENT; ENERGY; EQUATIONS; EQUIPMENT; ITERATIVE METHODS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; RIEMANN SPACE; SCALE DIMENSION; SPACE