A note on a class of exact solutions for a doubly anharmonic oscillator

2015/05/26 by Paris, R. B.
#34A05 #81Q05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.06899

Abstract

We examine a class of exact solutions for the eigenvalues and eigenfunctions of a doubly anharmonic oscillator defined by the potential V(x)=ω²/2 x²+λx⁴/4+ηx⁶/6, η>0. These solutions hold provided certain constraints on the coupling parameters ω², λ and η are satisfied.

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