Published December 2015
| Version v1
Journal article
2D-Zernike Polynomials and Coherent State Quantization of the Unit Disc
- 1. Concordia University, Department of Comuter Science and Software Engineering (Canada)
- 2. University of Prince Edward Island, Department of mathematics and Statistics (Canada)
- 3. McGill University, Department of Mathematics and Statistics (Canada)
Description
Using the orthonormality of the 2D-Zernike polynomials, reproducing kernels, reproducing kernel Hilbert spaces, and ensuring coherent states attained. With the aid of the so-obtained coherent states, the complex unit disc is quantized. Associated upper symbols, lower symbols and related generalized Berezin transforms also obtained. A number of necessary summation formulas for the 2D-Zernike polynomials proved
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 18
- Journal Issue
- 1
- Journal Page Range
- p. 1-21
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47037061
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION OPERATORS; EIGENSTATES; HILBERT SPACE; KERNELS; MATHEMATICAL SOLUTIONS; POLYNOMIALS; QUANTIZATION; TRANSFORMATIONS
- Descriptors DEC
- BANACH SPACE; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM OPERATORS; SPACE
Optional Information
- Copyright
- Copyright (c) 2015 Springer Science+Business Media Dordrecht