On the Quantum Mechanics of Neutrino Oscillation
نویسنده
چکیده
We try to understand and to develop some of the basic quantum mechanics of neutrino oscillation. First, we observe that measurements which identify the physical neutrino (mass eigenstate) involved in each event of an experiment destroy any oscillation pattern. We explain how these measurements do that. Then, we construct a wave packet treatment of neutrino oscillation. We find that it gives the same results as the standard treatment. Next, we estimate the distance a beam must travel before its different physical neutrinos, which have different speeds, will stop interfering with each other. Finally, we-consider the possibility of observing the difference in the arrival times of the various physical neutrinos at a given point. Submitted to Physical Review D * Work supported by the Department of Energy, contract DE-AC03-76SF00515. t Permanent address.
منابع مشابه
مطالعه انتشار همدوس لپتونهای باردار ناشی از واپاشی پایون و W بوزون در مکانیک بوهمی
Although charged leptons, contrary to neutrinos, cannot oscillate, exploring whether a coherent superposition of charged lepton states can change to others during the propagation is an important problem in the neutrino oscillation theory. In this paper, we consider electrons and muons coming from the pions and W decays and study their propagation in relativistic Bohmian quantum mechanics. We f...
متن کاملTesting Quantum Mechanics in Neutrino Oscillation
A scenario of testing quantum mechanics in neutrino oscillation is presented. The quantum mechanics violation(QMV) that is motivated by arguments based on quantum gravity is investigated in neutrino system. It is found that the evolution equation of density matrix including QMV effect is analytically resolvable for neutrino propagate in vacuum or in matter under adiabatic approximation. The ana...
متن کاملNeutrino Oscillations and Non-Hermitian Quantum Mechanics
In this dissertation we firstly present a brief review of the Standard Model of particle physics, focussing on aspects of the model that prove most relevant in the context of explaining the observed oscillation of neutrinos. The phenomenology of neutrino oscillations is then introduced, and different possible extensions to the Standard Model that would allow for non-zero neutrino masses, thereb...
متن کاملQuantum correlations in terms of neutrino oscillation probabilities
Neutrino oscillations provide evidence for the mode entanglement of neutrino mass eigenstates in a given flavour eigenstate. Given this mode entanglement, it is pertinent to consider the relation between the oscillation probabilities and other quantum correlations. In this work, we show that all the well-known quantum correlations, such as the Bell’s inequality, are directly related to the neut...
متن کاملFeynman Path Amplitude Calculation of Neutrino and Muon Oscillations
Predictions are presented for the oscillation phase in neutrino oscillations following pion decay at rest and in flight, muon decay and nuclear β−decay at rest as well as for muon oscillations following pion decay at rest and in flight. The neutrino oscillation phases found disagree with the conventionally used value: φ 12 = ∆m 2 L/(2P). The same oscillation phase is found for neu-trino and muo...
متن کامل