Generalized Weyl transform for operator ordering: Polynomial functions in phase space

The generalized Weyl transforms were developed from the Hermiticity condition and the ordering rules were represented by characteristic real-valued functions. The integral transforms give rise to transformation equations between Weyl quantization and differently ordered operators. The transforms als...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2015-02, Vol.56 (2), p.1
Main Authors: Domingo, Herbert B., Galapon, Eric A.
Format: Article
Language:English
Subjects:
Functions (mathematics)
Integral transforms
Mathematical analysis
Mathematical functions
Operators (mathematics)
Physics
Polynomials
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The generalized Weyl transforms were developed from the Hermiticity condition and the ordering rules were represented by characteristic real-valued functions. The integral transforms give rise to transformation equations between Weyl quantization and differently ordered operators. The transforms also simplify evaluation of commutator and anticommutator of a set of operators following the same ordering rule.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4907561