Published December 23, 2010
| Version v1
Journal article
The harmonic oscillator behind all aberrations
Creators
- 1. Instituto de Ciencias Fisicas Universidad Nacional Autonoma de Mexico Av. Universidad s/n, Cuernavaca (Mexico)
Description
The group-theoretical structure of the harmonic oscillator appears in many guises. Originally developed by Marcos Moshinsky among several others for applications in nuclear physics, we point out here that the harmonic oscillator structure appears in aberrations of geometric optics, particularly in their classification by rank, symplectic spin and weight. And further, the finite harmonic oscillator appears again in the nonlinear transformations of finite Hamiltonian systems, when applied to the parallel processing of signals.
Additional details
Identifiers
- DOI
- 10.1063/1.3537861;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 1323
- Journal Issue
- 1
- Journal Page Range
- p. 313-322
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- Symposium on symmetries in nature in memoriam Marcos Moshinsky
- Dates
- 7-14 Aug 2010
- Place
- Cuernavaca (Mexico)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42103090
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CLASSIFICATION; DIFFERENTIAL EQUATIONS; HAMILTONIANS; HARMONIC OSCILLATORS; LIE GROUPS; NONLINEAR PROBLEMS; NUCLEAR PHYSICS; OPTICS; PARALLEL PROCESSING; REFRACTIVE INDEX; SPIN; TRANSFORMATIONS
- Descriptors DEC
- ANGULAR MOMENTUM; EQUATIONS; MATHEMATICAL OPERATORS; OPTICAL PROPERTIES; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; PHYSICS; PROGRAMMING; QUANTUM OPERATORS; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2010 American Institute of Physics