Levinson theorem in two dimensions

Details Levinson theorem in two dimensions Levinson theorem in two dimensions

1998-06-23

arxiv.org/abs/quant-ph/9806073v1

Phys.Rev. A56 (1997) 1938-1944

Physics

Quantum Physics

LaTeX, no figure

Scientific paper

10.1103/PhysRevA.56.1938

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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