  The quantization condition for interacting energy eigenvalues of the
two-nucleon system in a finite cubic volume is derived in connection to the
nucleon-nucleon scattering amplitudes. This condition is derived using an
auxiliary (dimer) field formalism that is generalized to arbitrary partial
waves in the context of non-relativistic effective field theory. The
quantization condition presented gives access to the scattering parameters of
the two-nucleon systems with arbitrary parity, spin, isospin, angular momentum
and center of mass motion, from a lattice QCD calculation of the energy
eigenvalues. In particular, as it includes all non-central interactions, such
as the two-nucleon tensor force, it makes explicit the dependence of the mixing
parameters of nucleon-nucleon systems calculated from lattice QCD when there is
a physical mixing among different partial-waves, e. g. S-D mixing in the
deuteron channel. We provide explicit relations among scattering parameters and
their corresponding point group symmetry class eigenenergies with orbital
angular momentum l smaller than or equal to 3, and for center of mass boost
vectors of the form 2\pi (2n_1, 2n_2, 2n_3)/L, 2\pi (2n_1, 2n_2, 2n_3+1)/L and
2\pi (2n_1+1, 2n_2+1, 2n_3)/L. L denotes the special extent of the cubic volume
and n_1,n_2,n_3 are integers. Our results are valid below inelastic thresholds
up to exponential volume corrections that are governed by the pion mass.
