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 -