  We solve the bound state problem for the Hamiltonian with the spin-orbit and
the Raman coupling included. The Hamiltonian is perturbed by a one-dimensional
short-range potential V which describes the impurity scattering. In addition to
the bound states obtained by considering weak solutions through the Fourier
transform or by solving the eigenvalue equation on a suitable domain directly,
it is shown that ordinary point-interaction representations of V lead to
spin-orbit induced extra states.
