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arxiv: quant-ph/9806073 · v1 · submitted 1998-06-23 · 🪐 quant-ph

Levinson theorem in two dimensions

classification 🪐 quant-ph
keywords levinsonmomentumtheoremanalogueangularattractiveboundcentral
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A two-dimensional analogue of Levinson's theorem for nonrelativistic quantum mechanics is established, which relates the phase shift at threshold(zero momentum) for the $m$th partial wave to the total number of bound states with angular momentum $m\hbar(m=0,1,2,...)$ in an attractive central field.

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