The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this b[...]
In accordance with the developments in computation, theoretical studies on numerical schemes are needed. This book studies various schemes from operator theoretical points of view. It includes chapters such as: Boundary Value Problems and FEM; Semigroup Theory and FEM; Evolution Equations and FEM; O[...]