Quantum Mechanics and Kinematics of Neutrino Oscillation

Neutrino oscillation is discussed with emphasis placed more on its quantum-mechanical and kinematic aspects. Treating neutrinos explicitly as wave packets with their momentum distribution functions to have a Gaussian form, we first investigate how neutrinos propagate, without referring to how they are created. We then study the case in which the neutrinos in question are created as a result of two-body decay of pions. We pay particular attention to the questions if and how the standard framework of neutrino oscillation would be modified.