Strong Levinson theorem for the Dirac equation

We consider the Dirac equation in one space dimension in the presence of a symmetric potential well. We connect the scattering phase shifts at E= +m and E= -m to the number of states that have left the positive energy continuum or joined the negative energy continuum, respectively, as the potential...

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Bibliographic Details
Published in:Physical review letters 2004-10, Vol.93 (18), p.180405.1-180405.4, Article 180405
Main Authors: CALOGERACOS, Alex, DOMBEY, Norman
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
Relativistic wave equations
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Summary:We consider the Dirac equation in one space dimension in the presence of a symmetric potential well. We connect the scattering phase shifts at E= +m and E= -m to the number of states that have left the positive energy continuum or joined the negative energy continuum, respectively, as the potential is turned on from zero.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.93.180405