Representing elements of the Weyl algebra by labeled trees

Walaa Asakly; Toufik Mansour; Matthias Schork

doi:10.1063/1.4792655

Representing elements of the Weyl algebra by labeled trees

Walaa Asakly, Toufik Mansour, Matthias Schork

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown how arbitrary elements of the Weyl algebra can be represented by labeled plane trees using normal ordering. Several examples are treated and combinatorial aspects are discussed. Also, possible avenues for future research are described.

Original language	English
Article number	023514
Journal	Journal of Mathematical Physics
Volume	54
Issue number	2
DOIs	https://doi.org/10.1063/1.4792655
State	Published - 5 Feb 2013

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.4792655

Cite this

@article{450e27211bda492f9d6df8237471277a,

title = "Representing elements of the Weyl algebra by labeled trees",

abstract = "It is shown how arbitrary elements of the Weyl algebra can be represented by labeled plane trees using normal ordering. Several examples are treated and combinatorial aspects are discussed. Also, possible avenues for future research are described.",

author = "Walaa Asakly and Toufik Mansour and Matthias Schork",

year = "2013",

month = feb,

day = "5",

doi = "10.1063/1.4792655",

language = "English",

volume = "54",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "2",

}

TY - JOUR

T1 - Representing elements of the Weyl algebra by labeled trees

AU - Asakly, Walaa

AU - Mansour, Toufik

AU - Schork, Matthias

PY - 2013/2/5

Y1 - 2013/2/5

N2 - It is shown how arbitrary elements of the Weyl algebra can be represented by labeled plane trees using normal ordering. Several examples are treated and combinatorial aspects are discussed. Also, possible avenues for future research are described.

AB - It is shown how arbitrary elements of the Weyl algebra can be represented by labeled plane trees using normal ordering. Several examples are treated and combinatorial aspects are discussed. Also, possible avenues for future research are described.

UR - http://www.scopus.com/inward/record.url?scp=84874733169&partnerID=8YFLogxK

U2 - 10.1063/1.4792655

DO - 10.1063/1.4792655

M3 - Article

AN - SCOPUS:84874733169

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 2

M1 - 023514

ER -

Representing elements of the Weyl algebra by labeled trees

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this