On Neutrino Oscillations and Time-Energy Uncertainty Relation

Abstract

We consider neutrino oscillations as non stationary phenomenon based on Schrodinger evolution equation and mixed neutrino states with definite flavor. We demonstrate that for such states invariance under translations in time does not take place. We show that time-energy uncertainty relation plays a crucial role in neutrino oscillations. We compare neutrino oscillations with $K^0\leftrightarrows {\bar{K}}^0$, $B_d^0\leftrightarrows {\bar{B}}_d^0$ etc oscillations.

References in corpus (3)

• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Solar models and solar neutrino oscillations
• Neutrino mass bounds from cosmology

Cited by in corpus (9)

• Properties of CP Violation in Neutrino-Antineutrino Oscillations
• Majorana CP-violating phases in neutrino-antineutrino oscillations and other lepton-number-violating processes
• Time-energy uncertainty relation for neutrino oscillations in curved spacetime
• Flavor Energy uncertainty relations for neutrino oscillations in quantum field theory
• Time-Energy Uncertainty Relations for Neutrino Oscillation and MÖssbauer Neutrino Experiment
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Recoilless Resonant Emission and Detection of Electron Antineutrinos
• On the flavor/mass dichotomy for mixed neutrinos: a phenomenologically motivated analysis based on lepton charge conservation in neutron decay
• CP-violation and unitarity triangle test of the Standard Model