Interference and Oscillation in Nambu Quantum Mechanics

Nambu quantum mechanics, proposed in [Phys. Lett. B 536, 305 (2002)], is a deformation of canonical quantum mechanics in which only the time-evolution of the ``phases'' of energy eigenstates is modified. We discuss the effect this theory will have on oscillation phenomena, and place a bound on the deformation parameters utilizing the data on the atmospheric neutrino mixing angle ${\ensuremath{\theta}}_{23}$.