RT Journal Article
T1 A solvable 2-body Dirac-equation in one space dimension
A1 Domínguez-Adame Acosta, Francisco
A1 Méndez Martín, María Bianchi
AB A solvable Hamiltonian for two Dirac particles interacting by instantaneous linear potentials in (1 + 1) dimensions is discussed. The system presents no Klein paradox even if the coupling is rather strong, so particles remain bound. The four independent components of the wave function describing the system resemble the nonrelativistic oscillator eigenfunctions. Although the Hamiltonian is not fully covariant, the effective frequency of the oscillator obeys a typical relativistic Doppler law. In contrast to the nonrelativistic treatment, eigenstates are intrinsically coupled with the overall translational motion of the system.
PB Natl Research Council Canada
SN 0008-4204
YR 1991
FD 1991-07
LK https://hdl.handle.net/20.500.14352/59032
UL https://hdl.handle.net/20.500.14352/59032
NO © Natl Research Council Canada
DS Docta Complutense
RD 27 sept 2024