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.

Full Text:


DOI: https://doi.org/10.5539/jmr.v2n1p3

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.