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APS » Journals » Phys. Rev. Lett. » Volume 93 » Issue 18
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Phys. Rev. Lett. 93, 180405 (2004) [4 pages]

Strong Levinson Theorem for the Dirac Equation

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Alex Calogeracos*
Physics and Astronomy Department, University of Sussex, Brighton BN1 9QH, United Kingdom
Division of Theoretical Mechanics, Air Force Academy TG1010, Dekelia Air Force Base, Greece

Norman Dombey†
Physics and Astronomy Department, University of Sussex, Brighton BN1 9QH, United Kingdom
Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA

Received 28 May 2004; published 29 October 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.180405
DOI:
10.1103/PhysRevLett.93.180405
PACS:
03.65.Pm

*Electronic address: a.calogeracos@sussex.ac.uk

†Electronic address: normand@sussex.ac.uk

 
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