Analytic Coulomb matrix elements in the lowest Landau level in disk geometry

DOI10.1063/1.1446244zbMath1059.81053arXivcond-mat/0111516OpenAlexW2049446560MaRDI QIDQ4830765

E. V. Tsiper

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0111516

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of hypergeometric functions (33C90)

Related Items (5)

Representation of the Coulomb matrix elements by means of Appell hypergeometric function \(F_2\) ⋮ Closed form analytical formulas for ground state energies in quantum Hall effect regime ⋮ Efficient calculation of Coulomb matrix elements for bilayers of confined charge carriers with arbitrary spatial separation ⋮ Generation of Coulomb matrix elements for the 2D quantum harmonic oscillator ⋮ Analytic Coulomb matrix elements in a three-dimensional geometry

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