Series expansion for the Fourier transform of a rational function in three dimensions

DOI10.1016/S0034-4877(15)00004-XzbMath1316.81030arXiv1410.5199OpenAlexW2963371216MaRDI QIDQ2349743

Rytis Juršėnas

Publication date: 17 June 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5199

zbMATH Keywords

Horn functiongeneralized Lauricella functionKampé de Fériet functionRashba-Dresselhaus spin-orbit coupling

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Other hypergeometric functions and integrals in several variables (33C70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of hypergeometric functions (33C90) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

Computation of the unitary group for the Rashba spin–orbit coupled operator, with application to point-interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of an electron confined to a ``hybrid plane and interacting with a magnetic field
• A ``hybrid plane with spin-orbit interaction
• Hypergeometric symbolic calculus. II: Systems of confluent equations
• Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions
• A note on the convergence of certain families of multiple hypergeometric series
• Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations
• The special functions and their approximations. Vol. I, II
• Resonances in models of spin-dependent point interactions
• The Lie Theory of Two-Variable Hypergeometric Functions
• Singular perturbations with boundary conditions and the Casimir effect in the half space
• Spherical Schrödinger operators with δ-type interactions
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
• Explicit Green functions for spin–orbit Hamiltonians

This page was built for publication: Series expansion for the Fourier transform of a rational function in three dimensions