Published October 1988
| Version v1
Journal article
Quantization of nonintegrable maps
Description
Using Heisenberg's matrix formulation of quantum mechanics, a method is given for quantizing volume-preserving polynomial mappings. The energy levels of the linear maps are obtained exactly and those of the cubic, nonintegrable map are obtained approximately and numerically
Additional details
Publishing Information
- Journal Title
- Journal of Statistical Physics
- Journal Volume
- 53
- Journal Issue
- 1-2
- Series
- J. Stat. Phys.
- Journal Page Range
- 457-474
- ISSN
- 0022-4715
- CODEN
- JSTPB
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 20053413
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BORN APPROXIMATION; ENERGY LEVELS; HAMILTONIANS; HARMONIC OSCILLATOR MODELS; HEISENBERG PICTURE; ITERATIVE METHODS; MATHEMATICAL MANIFOLDS; MATRICES; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PARTICLE MODELS; PLANCK LAW; POLYNOMIALS; QUANTIZATION; QUANTUM MECHANICS; STATISTICAL MECHANICS; STOCHASTIC PROCESSES; TOPOLOGICAL MAPPING
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; TRANSFORMATIONS