TY - JOUR
T1 - Levinson's theorem for non-local interactions
AU - Dreyfus, Tommy
PY - 1976
Y1 - 1976
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=36149047650&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/9/12/004
DO - 10.1088/0305-4470/9/12/004
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AN - SCOPUS:36149047650
SN - 1751-8113
VL - 9
SP - L187-L191
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 12
M1 - 004
ER -