In this paper, we consider Cauchy problem of a quasilinear Schrodinger
equation which has general form containing potential term, power type
nonlinearity and Hartree type nonlinearity. The space dimension is
arbitrary, that is, it is larger than or equals to one. First, we
establish the local wellposedness of the solution and discuss the
condition on the global existence of the solution. Next, we establish
some conservation laws such as mass conservation law, energy
conservation law, pseudoconformal conservation law of the solution.
Based on these conservation laws, we give Morawetz type estimates,
spacetime bounds for the global solution. Last, we take two ideas to
establish scattering theory for the global solution in different
functional spaces. The first idea is that we take different admissible
pairs in Strichartz estimates for different terms on the right side of
Duhamel's formula in order to keep each term independent, another one is
that we factitiously let a continuous function be the sum of two
piecewise functions and choose different admissible pairs in Strichartz
estimates for the terms containing these functions.