Quantum Mechanics on Multiply Connected Manifolds with Applications to One and Two Dimensional Anyons
J. Gamboa
TL;DR
This paper explores the behavior of anyons in one and two dimensions using path integral formalism, highlighting their mathematical properties and potential physical applications.
Contribution
It introduces a novel application of path integral methods to analyze anyons on multiply connected manifolds in low dimensions.
Findings
Demonstrates the path integral approach to anyons
Analyzes topological effects in quantum mechanics
Provides insights into low-dimensional quantum systems
Abstract
In these lectures several aspects of anyon in one and two dimensions are considered from the path integral formalism. This paper is based in a set of four lectures given by the author in the "V Latinoamerican Workshop of Particles and Fields, hel in Puebla, Mexico.
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