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- W2011566114 abstract "Schrödinger’s operator −(ℏ2/2m){d2/dr2+(2/r)d/dr}+V(r) is studied, and what happens when V(r) approaches −∞ rapidly as r→∞ is shown. The cases in which V(r)∼−βrδ (β>0, δ>2) as r→∞ are covered. If V(r) approaches −∞ rapidly, then the above operator is not self-adjoint and in order to get a self-adjoint operator a boundary condition must be imposed. For such a self-adjoint operator there are states that belong to the discrete energy spectrum. To obtain the discrete energy spectrum, a quantization rule that corresponds to the quantization rule of Bohr and Sommerfeld in old quantum mechanics is considered." @default.
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- W2011566114 date "1986-01-01" @default.
- W2011566114 modified "2023-09-26" @default.
- W2011566114 title "Eigenvalue problem for Schrödinger’s equation with repulsive potential" @default.
- W2011566114 doi "https://doi.org/10.1063/1.527367" @default.
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