Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities
نویسندگان
چکیده
Franz G. Mertens Physikalisches Institut, Universität Bayreuth, D–95440 Bayreuth, Germany (Dated: November 11, 2002) Abstract The Levinson theorem for two–dimensional scattering is generalized for potentials with inverse square singularities. By this theorem, the number of bound states in a given m–th partial wave is related to the phase shift and the singularity strength of the potential. For the m–wave phase shift the asymptotic behaviour is calculated for short wavelengths.
منابع مشابه
Generalized Levinson theorem for singular potentials in two dimensions
The Levinson theorem for two-dimensional scattering is generalized for potentials with inverse square singularities. By this theorem, the number of bound states Nm b in a given mth partial wave is related to the phase shift dm(k) and the singularity strength of the potential. When the effective potential has an inverse square singularity at the origin of the form n/r and inverse square tail at ...
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