Representation of the Coulomb matrix elements by means of Appell hypergeometric function \(F_2\)

DOI10.1007/s11040-018-9267-3zbMath1396.33006OpenAlexW2794877374MaRDI QIDQ1664455

Zine el abidine Bentalha

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-018-9267-3

zbMATH Keywords

hypergeometric functionselectron gasAppell functionsquantum Hall fluid

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items

Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact solution for mean energy of 2d Dyson gas at \(\beta = 1\)
• Supersymmetric structure of quantum Hall effects in graphene
• Finding new relationships between hypergeometric functions by evaluating Feynman integrals
• Exact results for finite quantum Hall systems of electrons at filling factor one: Disk geometry
• A massive Feynman integral and some reduction relations for Appell functions
• Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials
• Analytic Coulomb matrix elements in the lowest Landau level in disk geometry
• MULTIPOLE MATRIX ELEMENTS FOR DH-SYSTEMS AND THEIR ASYMPTOTICS
• Composite Fermions