  We investigate the electronic properties of the semi-Dirac system and its
polaronic dynamics when coupled with a fermi bath with quadratic dispersion.
The electronic anisotropic transport properties and the semiclassical dynamics
of the semi-Dirac system are studied, including the density-of-states,
conductivity, transport relaxation rate, specific heat, electrical current
denity, and free energy. The attractive polaron formed as the semi-Dirac
impurity dressed with the particle-hole excitations in a two-dimensional system
are studied both analytically and numerically. The pair propagator,
self-energy, spectral function are being detailly calculated and discussed.
