  We study a one-dimensional interacting electron gas with the strong Rashba
spin-orbit coupling and Zeeman splitting in a quantum well. A bosonization
theory is developed for this system. The tunneling current may deviate from a
simple power law which is that in an ordinary Luttinger liquid. The microscopic
interacting coupling and the spin-orbital parameter may be measured by varying
the external magnetic field in the tunneling experiment.
