Exact solutions of the sextic oscillator from the bi-confluent Heun equation

DOI10.1142/S0217732319501347zbMath1416.81058arXiv1904.09488MaRDI QIDQ4968288

A. M. Ishkhanyan, Géza Lévai

Publication date: 12 July 2019

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

Full work available at URL: https://arxiv.org/abs/1904.09488

zbMATH Keywords

Schrödinger equationquasi-exactly solvable potentialsbi-confluent Heun equationsextic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special quantum systems, such as solvable systems (81Q80)

Related Items (4)

Semi-exact solutions of sextic potential plus a centrifugal term ⋮ Quasi-exact description of the γ-unstable shape phase transition ⋮ Moyal equation—Wigner distribution functions for anharmonic oscillators ⋮ Energy partition for anharmonic, undamped, classical oscillators

Uses Software

• DLMF

Cites Work

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