Quantum field theory applications of Heun type functions

DOI10.1016/S0034-4877(17)30022-8zbMath1384.33035arXiv1605.07848MaRDI QIDQ1744690

M. Hortacsu, Tolga Birkandan

Publication date: 19 April 2018

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

Full work available at URL: https://arxiv.org/abs/1605.07848

zbMATH Keywords

Heun functionsquantum field theoryDirac equation

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (8)

Heun functions describing bosons and fermions on Melvin's spacetime ⋮ Heun functions and some of their applications in physics ⋮ Heun-type solutions of the Klein-Gordon and Dirac equations in the Garfinkle-Horowitz-Strominger dilaton black hole background ⋮ Euler integral symmetries and the asymptotics of the monodromy for the Heun equation ⋮ Symbolic and numerical analysis in general relativity with open source computer algebra systems ⋮ Quasinormal modes of Kerr–de Sitter black holes via the Heun function ⋮ Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time ⋮ Dirac equation on the Kerr-Newman spacetime and Heun functions

Cites Work

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• On reducing the Heun equation to the hypergeometric equation
• HEUN FUNCTIONS AND THEIR USES IN PHYSICS
• Physical applications of second-order linear differential equations that admit polynomial solutions
• Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
• Heun equation, Teukolsky equation, and type-D metrics
• Dirac equation in the background of the Nutku helicoid metric
• Classes of exact solutions to the Teukolsky master equation
• Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
• Dirac equation in Euclidean Newman–Penrose formalism with applications to instanton metrics
• Gravitational instantons from minimal surfaces
• Extension of Nikiforov-Uvarov method for the solution of Heun equation
• Comment on “Dirac equation in the background of the Nutku helicoid metric” [J. Math. Phys. 48, 092301 (2007)]

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