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We present a formulation of lepton family numbers, based on quantum fieldtheory, for neutrino oscillation phenomenology that can be applied tononrelativistic and relativistic energies for neutrinos. It is formulated forboth types of neutrinos, Dirac and Majorana. The formulation is constructed asthe time evolution of a lepton family number density operator. Then, the timeevolution of the lepton family number density operator becomes dependent on themass and new features appear. The expectation value of the density operator isevaluated for the initial state with a Gaussian distribution for the momentumamplitude. This enables us to study wave packet-like decoherence effects. Weshow in the nonrelativistic regime, the type of neutrino mass aredistinguishable even under the presence of wave packet-like decoherenceeffects.

Spacetime evolution of lepton number densities and wave packet-like effects for neutrino flavor and chiral oscillations in quantum field theory