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Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity.This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it will also be of value to mathematicians studying mathematical methods as part of their course. The text, which assumes only that the reader has followed a good basic first-year ancillary mathematics course, is self-contained and is an unabridged republication of the third edition published by Longman in 1985.
The book is a fairly non-technical introduction to modern supersymmetry phenomenology, approaching the subject in new and unique ways. It is suitable both for theorists and experimentalists, and emphasizes an intuitive grasp of the subject. Theoretical and experimental motivations, and the status and prospects of low-energy supersymmetry are discussed. It is shown by explicit construction that the stabilization of any perturbative theory which contains fundamental scalar bosons naturally leads to the notion of supersymmetry. The minimal supersymmetric extension of the standard model is then pedagogically defined and its experimental status is summarized. Renormalization of the models, including unificaiton, is discussed and the linkage between high and low energies is demonstrated, providing a potential probe of Planck-scale physics, such as unified theories. Besides a host of other phenomena, Higgs physics is discussed and the Higgs mass is shown to provide a crucial test of nearly all supersymmetric theories.
The 28th conference from the Rochester series was the major high energy physics conference in 1996. Volume one contains short reports on new theoretical and experimental results. Volume two consists of the review talks presented in the plenary sessions.
Bringing together leading researchers from particle physics, astrophysics, and cosmology, Lepton and Baryon Number Violation in Particle Physics, Astrophysics and Cosmology presents reviews of current theoretical ideas, experimental results, and future perspectives in this topical field. The book covers areas related to baryon number (B) and lepton number (L) violation in particle physics, nuclear physics, rare decays, and cosmology. The main topics include B and L violation and grand unified theories; B and L violation in the early universe, cosmology, and astrophysics; Lepton family number violation; and B and L violation and collider physics.
Neutrinos are the central thread in the study of many aspects of particle physics and astrophysics. Neutrino interactions test the standard electroweak theory and its TeV scale extensions, and examine the structure of the nucleon and of the CKM matrix. Searches for neutrino mass and other intrinsic properties probe new physics at very short distance scales. The weak interactions of neutrinos imply for them a unique role in studying the early universe, the core of the Sun, type II supernovae, and active galactic nuclei, and suggest the possibility of small neutrino masses contributing to the missing matter in the Universe, especially on very large distance scales.