An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts.

A Physicist's Introduction to Algebraic Structures: Vector Spaces, Groups, Topological Spaces and More

Science & Math

Pal, Palash B.

Physics

Cambridge University Press

For graduate students unfamiliar with particle physics, An Introductory Course of Particle Physics teaches the basic techniques and fundamental theories related to the subject. It gives students the competence to work out various properties of fundamental particles, such as scattering cross-section and lifetime. The book also gives a lucid summary of the main ideas involved. In giving students a taste of fundamental interactions among elementary particles, the author does not assume any prior knowledge of quantum field theory. He presents a brief introduction that supplies students with the necessary tools without seriously getting into the nitty-gritty of quantum field theory, and then explores advanced topics in detail. The book then discusses group theory, and in this case the author assumes that students are familiar with the basic definitions and properties of a group, and even SU(2) and its representations. With this foundation established, he goes on to discuss representations of continuous groups bigger than SU(2) in detail. The material is presented at a level that M.Sc. and Ph.D. students can understand, with exercises throughout the text at points at which performing the exercises would be most beneficial. Anyone teaching a one-semester course will probably have to choose from the topics covered, because this text also contains advanced material that might not be covered within a semester due to lack of time. Thus it provides the teaching tool with the flexibility to customize the course to suit your needs.

An Introductory Course of Particle Physics

CRC-Press

This book introduces QFT for readers with no prior knowledge of the subject. It is meant to be a textbook for advanced undergraduate or beginning postgraduate students. The book discusses quantization of fields, S-matrix theory, Feynman diagrams, calculation of decay rates and cross sections, renormalization, symmetries and symmetry breaking. Some background material on classical field theory and group theory, needed for the exposition, are also presented in the book. Detailed calculations of weak and electromagnetic processes are included. There are many exercise problems to help the students, instructors and beginning researchers in the field. The second edition improves upon some notations and explanations, and includes answers to selected exercises.

A First Book on Quantum Field Theory

Lahiri, Amitabha

Alpha Science International, Ltd

Are neutrinos massless particles as predicted by the standard model of electroweak interactions? There are however many reasons to suspect that neutrinos may indeed be massive and understanding the neutrino mass may hold the key to our understanding of physics beyond the standard model.This book provides a comprehensive overview of our present understanding of neutrino mass in unified gauge theories, its phenomenological and cosmological implications. It is divided into four parts. The first part presents a model independent discussion of the properties of the neutrino and nature of the neutrino masses. Part 2 deals with neutrino masses in unified and grand unified theories. In Part 3, phenomenological implications of neutrino mass is discussed. This includes neutrino oscillations, neutrinoless double beta decay and electromagnetic properties of neutrinos. Part 4 considers the solar neutrino puzzle, SN1987A and cosmological constraints on the neutrino properties. The book is meant for beginning and advanced graduate students in particle physics as well as active researchers in the field. It contains an extensive list of references to the original literature.

MASSIVE NEUTRINOS IN PHYSICS AND ASTROPHYSICS (World Scientific Lecture Notes in Physics)

Mohapatra, Rabindra N.

Astronomy & Space Science

World Scientific Publishing Company

Offers an up-to-date discussion on the theory, phenomenology, cosmology and astrophysics of massive neutrons. It includes a chapter on mathematical preliminaries that lead to the derivation of the standard model and properties, and which gives a discussion on the nature Dirac and Majorana masses for neutrinos and the various extensions of the standard model that explain the small neutrino mass. Various phenomena related to neutrino mass such as rare decays of muons and kaons, double beta decay, and neutrinos in a medium, are discussed. The final chapters include discussions on solar and supernova neutrinos and neutrino cosmology. References to the existing literature are included.

This book provides a complete and up-to-date discussion on the theory, phenomenology, cosmology and astrophysics of massive neutrinos. Starting with a chapter on mathematical preliminaries that lead to the derivation of the standard model and its properties, it gives a discussion on the nature of Dirac and Majorana masses for neutrinos and the various extensions of the standard model (left-right, supersymmetric, etc.) that explain the small neutrino mass. Various phenomena related to neutrino mass such as rare decays of muons and kaons, double beta decay, and neutrinos in a medium, are discussed. The final chapters include discussions on solar and supernova neutrinos and neutrino cosmology. Extensive references to the existing literature are included.

Massive Neutrinos in Physics and Astrophysics (Second Edition) (World Scientific Lecture Notes in Physics)

Massive Neutrinos in Physics and Astrophysics, Third Edition (World Scientific Lecture Notes in Physics, Vol. 72)

The recent groundbreaking discovery of nonzero neutrino masses and oscillations has put the spotlight on massive neutrinos as one of the key windows on physics beyond the standard model as well as into the early universe. This third edition of the invaluable book Massive Neutrinos in Physics and Astrophysics is an introduction to the various issues related to the theory and phenomenology of massive neutrinos for the nonexpert, providing at the same time a complete and up-to-date discussion on the latest results in the field for the active researcher. It is designed not merely to be a guide but also as a self-contained tool for research with all the necessary techniques and logics included. Specially emphasized are the various implications of neutrino discoveries for the nature of new forces. Elementary discussions on topics such as grand unification, left-right symmetry and supersymmetry are presented. The most recent cosmological and astrophysical implications of massive neutrinos are also dealt with.

See the best price to sell, buy, or rent books by Pal, Palash B.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Pal, Palash B.

See the best price to sell, buy, or rent books by Pal, Palash B.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

A Physicist's Introduction to Algebraic Structures: Vector Spaces, Groups, Topological Spaces and More

A Physicist's Introduction to Algebraic Structures: Vector Spaces, Groups, Topological Spaces and More

An Introductory Course of Particle Physics

A First Book on Quantum Field Theory

MASSIVE NEUTRINOS IN PHYSICS AND ASTROPHYSICS (World Scientific Lecture Notes in Physics)

MASSIVE NEUTRINOS IN PHYSICS AND ASTROPHYSICS (World Scientific Lecture Notes in Physics)

Massive Neutrinos in Physics and Astrophysics (Second Edition) (World Scientific Lecture Notes in Physics)

Massive Neutrinos in Physics and Astrophysics, Third Edition (World Scientific Lecture Notes in Physics, Vol. 72)