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- W2005179162 abstract "By using an alternative factorization, we obtain a self-adjoint oscillator operator of the form Lδ=ddx(pδ(x)ddx)−(x2pδ(x)+pδ(x)−1), where pδ(x)=1+δe−x2, with δ∈(−1,∞) an arbitrary real factorization parameter. At positive values of δ, this operator interpolates between the quantum harmonic oscillator Hamiltonian for δ=0 and a scaled Hermite operator at high values of δ. For the negative values of δ, the eigenfunctions look like deformed quantum mechanical Hermite functions. Possible applications are mentioned." @default.
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- W2005179162 date "2011-05-01" @default.
- W2005179162 modified "2023-09-27" @default.
- W2005179162 title "Self-adjoint oscillator operator from a modified factorization" @default.
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- W2005179162 doi "https://doi.org/10.1016/j.physleta.2011.04.012" @default.
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