Path Integral Methods
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Path Integral Methods in Quantum Field Theory
Author: R. J. Rivers
language: en
Publisher: Cambridge University Press
Release Date: 1988-10-27
The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.
Path Integral Methods
Providing a self contained step by step explanation, this book will guide the reader with a basic knowledge of quantum mechanics, to a sufficiently comprehensive level as well as to the frontier of contemporary physics. For the last two decades there has been a ceaseless growth of the area where the path integral (PI) method plays an important role: the main reasons are its intuitive aspect and ease of handling. However, this has raised questions elsewhere and in this book fundamental issues are resolved by starting from the canonical operator formalism to lead the reader to a more comprehensive level. Containing the most recent topics such as the lattice fermion problem in quantum field theory as well as the quantum Monte Carlo method in statistical mechanics this book will suit graduate students of quantum physics.
Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets
Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.