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From Dirac to Neutrino Oscillations

From Dirac to Neutrino Oscillations
Author: Tino Ahrens
Publisher: Springer Science & Business Media
Total Pages: 170
Release: 2013-11-27
Genre: Science
ISBN: 1461544653

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1bis text is meant to be a view of the quantum mechanical fonnalism as it develops with the successive introduction of different types oftransfonnations. In particular, it is meant to help the readers with three tasks: acquainting themselves with a general and direct approach to the quantum mechanics of spin one-half and spin-one particles, primarily leptons, photons and massive vector bosons, and to some extent quarks; finding out what some of the related areas of current research interest are; and, last and foremost, trying to understand the subject, beginning with and stressing the principles involved. The exposition is based on finite-dimensional representations of the homogeneous Lorentz group, and the subsequent introduction of gauge transformations, of the Abelian and non Abelian varieties. Reference to classical mechanics is avoided. Acting on the simple basis spinors and vectors, Lorentz transfonnations generate wave and field functions. Equations are obtained by the relativistic generalization of the addition of angular momenta, the wave or field functions being the solutions. For zero mass the equations may be obtained as the limits of the equations for the massive cases or by the application of the Euclidian group in two dimensions. The latter approach is illuminating in that it uncovers a loss in generality resulting from the former. Identifying momenta as eigenvalues of translations demonstrates covariance under the inhomogeneous Lorentz or Poincare group. Various representations of wave and field functions are given.


From Dirac to Neutrino Oscillations

From Dirac to Neutrino Oscillations
Author: Tino Ahrens
Publisher: Springer Science & Business Media
Total Pages: 200
Release: 2000-07-31
Genre: Mathematics
ISBN: 9780792378860

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1bis text is meant to be a view of the quantum mechanical fonnalism as it develops with the successive introduction of different types oftransfonnations. In particular, it is meant to help the readers with three tasks: acquainting themselves with a general and direct approach to the quantum mechanics of spin one-half and spin-one particles, primarily leptons, photons and massive vector bosons, and to some extent quarks; finding out what some of the related areas of current research interest are; and, last and foremost, trying to understand the subject, beginning with and stressing the principles involved. The exposition is based on finite-dimensional representations of the homogeneous Lorentz group, and the subsequent introduction of gauge transformations, of the Abelian and non Abelian varieties. Reference to classical mechanics is avoided. Acting on the simple basis spinors and vectors, Lorentz transfonnations generate wave and field functions. Equations are obtained by the relativistic generalization of the addition of angular momenta, the wave or field functions being the solutions. For zero mass the equations may be obtained as the limits of the equations for the massive cases or by the application of the Euclidian group in two dimensions. The latter approach is illuminating in that it uncovers a loss in generality resulting from the former. Identifying momenta as eigenvalues of translations demonstrates covariance under the inhomogeneous Lorentz or Poincare group. Various representations of wave and field functions are given.


Neutrino Mass

Neutrino Mass
Author: Guido Altarelli
Publisher: Springer
Total Pages: 0
Release: 2004-02-24
Genre: Science
ISBN: 3540449019

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Reviews the current state of knowledge of neutrino masses and the related question of neutrino oscillations. After an overview of the theory of neutrino masses and mixings, detailed accounts are given of the laboratory limits on neutrino masses, astrophysical and cosmological constraints on those masses, experimental results on neutrino oscillations, the theoretical interpretation of those results, and theoretical models of neutrino masses and mixings. The book concludes with an examination of the potential of long-baseline experiments. This is an essential reference text for workers in elementary-particle physics, nuclear physics, and astrophysics.


The Physics of Massive Neutrinos

The Physics of Massive Neutrinos
Author: Boris Kayser
Publisher: World Scientific
Total Pages: 132
Release: 1989
Genre: Science
ISBN: 9789971506629

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This book explains the physics and phenomenology of massive neutrinos. The authors argue that neutrino mass is not unlikely and consider briefly the search for evidence of this mass in decay processes before they examine the physics and phenomenology of neutrino oscillation. The physics of Majorana neutrinos (neutrinos which are their own antiparticles) is then discussed. This volume requires of the reader only a knowledge of quantum mechanics and of very elementary quantum field theory.


The Physics Of Massive Neutrinos

The Physics Of Massive Neutrinos
Author: F Gibrat-debu
Publisher: World Scientific
Total Pages: 129
Release: 1989-02-01
Genre: Science
ISBN: 9814507520

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This book explains the physics and phenomenology of massive neutrinos. The authors argue that neutrino mass is not unlikely and consider briefly the search for evidence of this mass in decay processes before they examine the physics and phenomenology of neutrino oscillation. The physics of Majorana neutrinos (neutrinos which are their own antiparticles) is then discussed. This volume requires of the reader only a knowledge of quantum mechanics and of very elementary quantum field theory.


Neutrino Oscillations

Neutrino Oscillations
Author: Fumihiko Suekane
Publisher: Springer
Total Pages: 193
Release: 2015-03-23
Genre: Science
ISBN: 4431554629

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Neutrino oscillation (N.O.) is the only firm evidence of the physics beyond the Standard Model of particle physics and is one of the hottest topics in elementary particle physics today. This book focuses on the N.O., from its history to the future prospects, from the basic theories to the experiments. Various phenomena of N.O. are described intuitively with thorough explanations of the fundamental physics behind well-known formulations. For example, while many textbooks start with a discussion of the mixing matrix, this book stresses that N.O. is caused by the transition amplitudes between different neutrino flavors, and that the purpose of N.O. experiments is to measure transition amplitudes and think of its origin. The current understanding of neutrino oscillation is also summarized using the most up-to-date measurements, including the recently measured neutrino mixing angle θ13, and the future prospects of N.O. studies are described as well. The level of this book makes it a bridge between introductory textbooks and scientific papers.


Neutrino Mixing

Neutrino Mixing
Author: Samoil Mikhelevich Bilenʹkiĭ
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 325
Release: 2000
Genre: Science
ISBN: 9789810243432

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The idea of neutrino oscillations was suggested in 1957 by B Pontecorvo, immediately after the discovery of parity violation in b-decay. It took more than 40 years and the efforts of many experimental teams before the first convincing evidence that neutrinos are massive and mixed particles came to light. A central figure in this enthusiastic endeavour to unravel neutrino properties is Samoil M Bilenky, from his early collaboration (in Dubna) with Pontecorvo to his most recent attempts at analyzing and reconciling, in a coherent theoretical framework, the results of many difficult experiments. These aim at the measurement of neutrino masses and oscillations: from the various solar neutrino experiments, via the LSND accelerator experiment, to the most suggestive atmospheric neutrino experiments. This book, which celebrates the seventieth birthday of Samoil M Bilenky, offers a fairly complete overview of theoretical issues and experimental facts about our present understanding of neutrino physics and its implications for astrophysical and cosmological problems. Indeed, some contributions are devoted to more general topics within and beyond the Standard Model, from lattice QCD to dark matter and supersymmetric models.


Fundamentals of Neutrino Physics and Astrophysics

Fundamentals of Neutrino Physics and Astrophysics
Author: Carlo Giunti
Publisher: Oxford University Press
Total Pages: 727
Release: 2007-03-15
Genre: Science
ISBN: 0198508719

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Our Universe is made of a dozen fundamental building blocks. Among these, neutrinos are the most mysterious - but they are the second most abundant particles in the Universe. This book provides detailed discussions of how to describe neutrinos, their basic properties, and the roles they play in nature.


Introduction to the Physics of Massive and Mixed Neutrinos

Introduction to the Physics of Massive and Mixed Neutrinos
Author: Samoil Bilenky
Publisher: Springer Science & Business Media
Total Pages: 262
Release: 2010-09-14
Genre: Science
ISBN: 3642140424

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For many years neutrino was considered a massless particle. The theory of a two-componentneutrino,whichplayedacrucialroleinthecreationofthetheoryof theweakinteraction,isbasedontheassumptionthattheneutrinomassisequalto zero. We now know that neutrinos have nonzero, small masses. In numerous exp- iments with solar, atmospheric, reactor and accelerator neutrinos a new p- nomenon, neutrino oscillations, was observed. Neutrino oscillations (periodic transitionsbetweendifferent?avorneutrinos? ,? ,? )arepossibleonlyifneutrino e ? ? mass-squareddifferencesaredifferentfromzeroandsmalland?avorneutrinosare “mixed”. The discovery of neutrino oscillations opened a new era in neutrino physics: an era of investigation of neutrino masses, mixing, magnetic moments and other neutrino properties. After the establishment of the Standard Model of the el- troweak interaction at the end of the seventies, the discovery of neutrino masses was the most important discovery in particle physics. Small neutrino masses cannot be explained by the standard Higgs mechanism of mass generation. For their explanation a new mechanism is needed. Thus, small neutrino masses is the ?rst signature in particle physics of a new beyond the Standard Model physics. It took many years of heroic efforts by many physicists to discover n- trino oscillations. After the ?rst period of investigation of neutrino oscillations, manychallengingproblemsremainedunsolved.Oneofthemostimportantisthe problem of the nature of neutrinos with de?nite masses. Are they Dirac n- trinos possessing a conserved lepton number which distinguish neutrinos and antineutrinos or Majorana neutrinos with identical neutrinos and antineutrinos? Many experiments of the next generation and new neutrino facilities are now under preparation and investigation. There is no doubt that exciting results are ahead.


Neutrino Cosmology

Neutrino Cosmology
Author: Julien Lesgourgues
Publisher: Cambridge University Press
Total Pages: 391
Release: 2013-02-21
Genre: Science
ISBN: 110701395X

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A self-contained guide to the role played by neutrinos in the Universe and how their properties influence cosmological and astrophysical observations.