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

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 نشر من قبل Richard Paris
 تاريخ النشر 2015
  مجال البحث
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 تأليف 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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