  Eigenfunctions and eigenvalues of the free magnetic Schr\"odinger operator,
describing a spinless particle confined to an infinite layer of fixed width,
are discussed in detail. The eigenfunctions are realized as an orthonormal
basis of a suitable Hilbert space. Four different classes of temporally stable
coherent states associated to the operator are presented. The first two classes
are derived as coherent states with one degree of freedom and the last two
classes are derived with two degrees of freedom. The dynamical algebra of each
class is found. Statistical quantities associated to each class of coherent
states are calculated explicitely.
