Bound States in Delta Function Potentials | Zendy

S. Geltman | Zendy

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Bound States in Delta Function Potentials

Author(s) -

S. Geltman

Publication year - 2011

Publication title -

journal of atomic molecular and optical physics

Language(s) - English

Resource type - Journals

eISSN - 1687-9236

pISSN - 1687-9228

DOI - 10.1155/2011/573179

Subject(s) - bound state , dirac delta function , function (biology) , delta , interatomic potential , range (aeronautics) , physics , scattering , state (computer science) , statistical physics , atomic physics , quantum mechanics , mathematics , molecular dynamics , materials science , algorithm , astronomy , evolutionary biology , composite material , biology

We present a systematic treatment of the bound state structure of a short-range attractive interatomic potential in one, two, and three dimensions as its range approaches zero. This allows the evaluation of the utility of delta function potentials in the modeling of few-body systems such as nuclei, atoms, and clusters. The relation to scattering by delta function potentials is also discussed.

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