Levinson’s Theorem and the Nonlocal Saito Potential

S.B. Qadri, B. Mulligan, Mohammad F. Mahmood, J.Y. Al-Khal


We consider Levinson’s theorem for the nonlocal Saito potential. We find that the phase of the Jost function gives a correct
result for the zero-energy phase shift of associated with the additional node in the scattering wavefunction. This analysis
takes into account the zero-energy continuum bound state of the potential. A comparison is given with previous results
which do not consider the possibility that such a state is present.

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DOI: http://dx.doi.org/10.5539/jmr.v2n1p3

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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