On the simultaneous eigenproblem for the x2 λ x2(1+gx2)−1 interaction: Extension of Gallas’ results

Research output: Contribution to journalComment/debate

19 Citations (Scopus)

Abstract

An ansatz for the eigenfunctions of thex2 λ x2(1+gx2)−1 interaction has been recently introduced by Blecher and Leach. Usingthis ansatz, Gallas has obtained five solution pairs for λ=−2g(3g+2). Gallas’ results are generalised and extended here.

Original languageEnglish (US)
Pages (from-to)1701-1703
Number of pages3
JournalJournal of Physics A: Mathematical and General
Volume22
Issue number10
DOIs
StatePublished - May 21 1989

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Eigenproblem
Eigenvalues and eigenfunctions
Eigenfunctions
eigenvectors
Interaction
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

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title = "On the simultaneous eigenproblem for the x2 λ x2(1+gx2)−1 interaction: Extension of Gallas’ results",
abstract = "An ansatz for the eigenfunctions of thex2 λ x2(1+gx2)−1 interaction has been recently introduced by Blecher and Leach. Usingthis ansatz, Gallas has obtained five solution pairs for λ=−2g(3g+2). Gallas’ results are generalised and extended here.",
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AB - An ansatz for the eigenfunctions of thex2 λ x2(1+gx2)−1 interaction has been recently introduced by Blecher and Leach. Usingthis ansatz, Gallas has obtained five solution pairs for λ=−2g(3g+2). Gallas’ results are generalised and extended here.

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