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Relativistic point interaction

Relativistic point interaction

Authors :
L. Dabrowski
S. Benvegnù
Source :
Letters in Mathematical Physics. 30:159-167
Publication Year :
1994
Publisher :
Springer Science and Business Media LLC, 1994.

Abstract

A four-parameter family of all self-adjoint operators corresponding to the one-dimensional Dirac Hamiltonian with point interaction is characterized in terms of boundary conditions. The spectrum and eigenvectors, and the scattering parameters are calculated. It is shown that the nonrelativistic limit reproduces (in the norm resolvent sense) the four-parameter family of Schrodinger operators with point interaction, their eigenvalues and scattering parameters.

Details

ISSN :
15730530 and 03779017
Volume :
30
Database :
OpenAIRE
Journal :
Letters in Mathematical Physics
Accession number :
edsair.doi.dedup.....ec2a4e91ccf817e0a7d6ee22ebb7f218
Full Text :
https://doi.org/10.1007/bf00939703