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- W2025382743 abstract "The problem of the existence of elementary bound states is discussed. A−trivial−observation that every elementary wave function ψ[i](r) is an exact bound state for an appropriate potential, V(r)=V[i][ψ(r),r], is shown to lead to a very transparent form of the ‘‘quasiexact’’ (QE) solvability condition V[i]=V[j] for doublets and multiplets of the ψ’s. In this sense, the particular class of elementary ansätze, ψ[i](r)=rλpolynomial(r2) ×exp[rμpolynomial(r2)], also defines the particular class of QE-solvable potentials. They have an elementary nonpolynomial (rational) form, possibly also with a strongly singular−repulsive−core at the origin. The properties of these forces are discussed in detail." @default.
- W2025382743 created "2016-06-24" @default.
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- W2025382743 date "1992-08-01" @default.
- W2025382743 modified "2023-09-26" @default.
- W2025382743 title "On the elementary Schrödinger bound states and their multiplets" @default.
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- W2025382743 doi "https://doi.org/10.1063/1.529548" @default.
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