New solutions to the confluent Heun equation and quasiexact solvability

2013/11/29 by Léa Jaccoud El-Jaick, El-Jaick, Léa Jaccoud, Bartolomeu D. B. Figueiredo +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1311.7677

arxiv created 2013/11/29 · openalex publication_date 2013/11/29 · arxiv updated 2013/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct new solutions in series of confluent hypergeometric functions for the confluent Heun equation (CHE). Some of these solutions are applied to the one-dimensional stationary Schrödinger equation with hyperbolic and trigonometric quasiexactly solvable potentials.

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