Levinson's theorem for non-local interactions
- 1 December 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (12), L187-L191
- https://doi.org/10.1088/0305-4470/9/12/004
Abstract
Two definitions of the scattering phase shift are given. For non-local interactions giving rise to continuum bound states, the two definitions yield different phase shifts. Accordingly two different versions of Levinson's theorem result; one of them takes the continuum bound states into account, the other one does not. The former is usually used by physicists, in spite of indications that the latter corresponds more closely to physical phenomena.Keywords
This publication has 8 references indexed in Scilit:
- The generalized Levinson theorem for composite particle scattering in the framework of the Saito modelNuclear Physics A, 1976
- Levinson's theorem and non-local potentialsJournal of Physics A: General Physics, 1976
- Properties of the Saito Nonlocal PotentialProgress of Theoretical Physics, 1974
- Continuity of Phase Shift at Continuum Bound StatePhysical Review B, 1969
- Bound states and Levinson's theorem for a class of non-local potentials (s-wave)Nuclear Physics A, 1968
- Finite-dimensional perturbation and a representaion of scattering operatorPacific Journal of Mathematics, 1963
- On the validity of Levison’s theorem for non-local interactionsIl Nuovo Cimento (1869-1876), 1958
- On finite-dimensional perturbations of self-adjoint operators.Journal of the Mathematical Society of Japan, 1957