Some comments on high precision study of neutrino oscillations

I discuss some problems connected with the high precision study of neutrino oscillations. In the general case of $n$-neutrino mixing I derive a convenient expression for transition probability in which only independent terms (and mass-squared differences) enter. For three-neutrino mixing I discuss a problem of a definition of a large (atmospheric) neutrino mass-squared difference. I comment also possibilities to reveal the character of neutrino mass spectrum in future reactor neutrino experiments

Neutrinos: past, present, future

A general overview of neutrino physics is given. The history of the neutrino starting from Pauli and Fermi is briefly presented. Two-component neutrinos, the phenomenological V-A theory and the standard model are discussed. The problem of neutrino masses and mixing is reviewed.Comment: 18 pages, no figures. Lecture presented at the International School of Physics "Enrico Fermi", Varenna, Italy, 22 July - 1 August 199

Neutrino Mixing

In the first part of these lectures the neutrino mixing hypothesis will be considered in detail. We will discuss the possible schemes of neutrino mixing and present the data of the recent experiments searching for effects due to nonvanishing neutrino masses and mixing angles.In the second part of these lectures the physics of solar neutrinos will be considered.We will discuss the MSW resonance solution of the equation of evolution of a neutrino in matter and present data of solar neutrino experiments.Comment: DFTT 67/92, LaTeX file, no figure

Recoilless Resonance Absorption of Tritium Antineutrinos and Time-Energy Uncertainty Relation

We discuss neutrino oscillations in an experiment with M\"ossbauer recoilless resonance absorbtion of tritium antineutrinos, proposed recently by Raghavan. We demonstrate that small energy uncertainty of antineutrinos which ensures a large resonance absorption cross section is in a conflict with the energy uncertainty which, according to the time-energy uncertainty relation, is necessary for neutrino oscillations to happen. The search for neutrino oscillations in the M\"ossbauer neutrino experiment would be an important test of the applicability of the time-energy uncertainty relation to a newly discovered interference phenomenon

Status of neutrino mixing

Talk presented at the 7th International Workshop on Neutrino Telescopes, Venezia, February 1996.Comment: LaTeX2e file, 18 pages including 1 figur

Neutrino Oscillations and Time-Energy Uncertainty Relation

Neutrino oscillations is a phenomenon which is characterized by a finite oscillation time (length). For such phenomena time-energy uncertainty relation is valid. This means that energy uncertainty is needed for oscillations to occur. We consider neutrino oscillations from this point of view. We demonstrate that for mixed neutrino states, which describe flavor neutrinos $\nu_{e}$, $\nu_{\mu}$ and $\nu_{\tau}$, translational invariance does not take place.Comment: 14 page

On the status of neutrino mixing and oscillations

Evidences in favor of neutrino oscillations, obtained in the solar and atmospheric neutrino experiments, are discussed. Neutrino oscillations in the solar and atmospheric ranges of the neutrino mass-squared differences are considered in the framework of the minimal scheme with the mixing of three massive neutrinos.Comment: Report at the XVI Recontres de Physique de La Vallee d'Aoste, La Thuile, Aosta Valley (Italy) March 3-9, 200

Bruno Pontecorvo: mister neutrino

Bruno Pontecorvo was a great physicist who had enormous impact on the development of neutrino physics. His contribution to neutrino physics is briefly reviewed.Some recollections about his personality are also given.Comment: A report at the III International Workshop "Neutrino Oscillations in Venice", Venice, February 7-10, 200

Neutrino and The Standard Model

After discovery of the Higgs boson at CERN the Standard Model acquired a status of the full, correct theory of the elementary particles in the electroweak range. What general conclusions can be inferred from the SM? I am suggesting here that in the framework of such general principles as local gauge symmetry, unification of the weak and electromagnetic interactions and Brout-Englert-Higgs spontaneous breaking of the electroweak symmetry nature chooses the simplest possibilities. It is very plausible that massless left-handed neutrinos (simplest, most economical possibility) play crucial role in the determination of the charged current structure of the Standard Model and that neutrino properties (masses and nature) are determined by a beyond the Standard Model physics. The discovery of the neutrinoless double $\beta$-decay and proof that neutrinos with definite masses are Majorana particles would be an important evidence in favor of the considered scenario

Prehistory of Neutrino Oscillations

First ideas of neutrino masses, mixing and oscillations proposed by Bruno Pontecorvo in 1957 and later development of these ideas are considered in some details. Original ideas of the two-neutrino mixing proposed by Maki, Nakagawa and Sakata in 1962 are also discussed.Comment: Report at the conference "History of the Neutrino", September 5-7, 2018, Paris, Franc