Almost singular potentials

doi:10.1063/1.522998

Almost singular potentials

1976-06-01

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DOI：10.1063/1.522998

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Explicit solutions are constructed for the lowest bound states of the Schrödinger equation with an attractive potential that behaves typically as r−2+ε at the origin. The energy levels and wavefunctions, which depend on the small parameter ε in a nonanalytic way, show some interesting properties; and some relations between this model and aspects of elementary particle physics are noted.

Almost singular potentials

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