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Register a new userA note on a class of exact solutions for a doubly anharmonic oscillator
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R. B. Paris
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We examine a class of exact solutions for the eigenvalues and eigenfunctions of a doubly anharmonic oscillator defined by the potential $V(x)=omega^2/2 x^2+lambda x^4/4+eta x^6/6$, $eta>0$. These solutions hold provided certain constraints on the coupling parameters $omega^2$, $lambda$ and $eta$ are satisfied.
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