Schrödinger equation on a Dini's surface

DOI10.1016/J.PHYSLETA.2024.129674MaRDI QIDQ6576538

Matheus E. Pereira, Alexandre G. M. Schmidt

Publication date: 22 July 2024

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationgeneralized Heun's equation

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Heun functions and some of their applications in physics
• Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
• Potentials of the Heun class
• Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
• Second Order Differential Equations
• The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions
• Threshold for blowup for the supercritical cubic wave equation
• The Klein–Gordon–Fock equation in the curved spacetime of the Kerr–Newman (anti) de Sitter black hole
• An application of Heun functions in the quantum mechanics of a constrained particle
• A quantum analog model for a scalar particle interacting with a Kerr-de Sitter black hole

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