TY - JOUR
AU - Valenzuela, David
AU - Pérez Pedraza, Julio César
AU - Raya, Alfredo
PY - 2023/06/28
Y2 - 2023/12/09
TI - Non-relativistic representation of the Jackiw-Rebbi soliton
JF - Revista Mexicana de Física E
JA - Rev. Mex. Fis. E
VL - 20
IS - 2 Jul-Dec
SE - 05 Letters
DO - 10.31349/RevMexFisE.20.020501
UR - https://rmf.smf.mx/ojs/index.php/rmf-e/article/view/7052
SP - 020501 1–4
AB - <p>We consider the Foldy-Whouthuysen (FW) transformation of the Dirac equation coupled to a background soliton field which is equivalent to a position-dependent massm(x) such that at each limit x → ±∞, the mass to the left and to the right tends to a (possibly different) constant, with a sign difference at each side. We then build-up a third order unitarily transformed Schrödinger-like Hamiltonian as a counterpart of the corresponding to the well known Jackiw-Rebbi model. By further FW-transforming the Dirac spinor, we establish the relation between the non-relativistic and relativistic wave functions up to this order of approximation for generic position dependent mass profiles. For the economic choice m(x) = m0x/|x|, we find that these spinors are the same up to an overall constant.</p>
ER -