We investigate the causes of the curious property of neutrino oscillations of looking as an interference between fully distinguishable particles. The sources of this effect are identified as to be determined by the many particle nature of space of states of the quantum field theory. It is firstly underlined that in order to explain the observed oscillations, the neutrino subspace of states should not be interpreted as the direct product of the three neutrinos Fock spaces, which is equivalent to imposing a superselection rule. Further, it is argued that the linear completion of such a direct product space of states permits to describe the measured oscillations. Thus, the space of states of te Standard Model (SM) should be interpreted as the linear completion of the direct product of all the Fock spaces (boson or fermions ones) associated to the distinguishable particles. Then, it follows that the neutrino oscillations are determined as interference between independent particles, which are generated by states being outside the direct product of the neutrino Fock spaces. This interpretation seems to imply a large amount of interference observations between distinguishable particles in Particle as well as in Condensed Matter Physics. For seeking clearness, the discussion is done in the framework of a simple Quantum Field Theory (QFT) model of two relativistic free massive neutrinos.
Spatially Dependent Quantum Interference Effects in the Detection Probability of Charged Leptons Produced in Neutrino Interactions or Weak Decay Processes
Simple quantum mechanics explains GSI Darmstadt oscillations Even with undetected neutrino; Momentum conservation requires Same interference producing oscillations in initial and final states
观测大气尺度和太阳尺度振荡之间的干扰是正在进行和即将进行的中微子实验的挑战性和诱人的目标之一。进行这种分析的第一步必然是建立如何将振荡$S$矩阵分解为大气波和太阳波的方法,这个过程被称为振幅分解。本文利用Denton等人提出的微扰框架,建立了覆盖地面中微子实验整个运动学区域的振幅分解公式。我们分析了大气和太阳共振区域的限制,认为动力学的两种模式的分解可以被解释为物质装扮的大气和太阳振荡。振荡概率的表达式,这是分解为非干扰和干扰项,推导出所有相关的风味振荡通道。通过构造这种分解,我们揭示了由于$S$矩阵重排不变性而导致的$ψ$($θ_{12}$ in matter)对称性的本质.微扰理论的新图景出现了,它为地球物质中的中微子振荡提供了一个统一的微扰框架。