Levinson theorem for Dirac particles in two dimensions
Qiong-gui Lin
Abstract
The Levinson theorem for nonrelativistic quantum mechanics in two spatial dimensions is generalized to Dirac particles moving in a central field. The theorem relates the total number of bound states with angular momentum j (j= 1/2, 3/2, ... ), nj, to the phase shifts ηj( Ek) of scattering states at zero momentum as follows: ηj(μ)+ηj(-μ)= njπ.
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