Generalized Levinson theorem for singular potentials in two dimensions
نویسندگان
چکیده
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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In 1949 Levinson 1 established one of the most beautiful results of scattering theory: the Levinson theorem sets up a relation between the number of bound states, Nl , in a given lth partial wave and the phase shift l k : namely, l 0 − l = Nl . Ten years later, in 1959, Aharonov and Bohm 2 discovered the global properties of the magnetic flux. Nowadays the Aharonov-Bohm AB effect is often invol...
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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 ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2003
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.68.012707