Titlebook: Equivariant Cohomology and Localization of Path Integrals; Richard J. Szabo Book 2000 Springer-Verlag Berlin Heidelberg 2000 Cohomological

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Equivariant Cohomology and the Localization Principle,der the 2-sphere . . of unit radius viewed in Euclidean 3-space ℝ. as a sphere standing on end on the .-plane and centered at . = . symmetrically about the .-axis. We introduce the usual spherical polar coordinates . = sin θ cos φ, . = sin θ sin φ and . = . - cos φ for the embedding of the sphere in

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Quantum Localization Theory for Phase Space Path Integrals,oximation, i.e. the semi-classical approximation, can usually be obtained quite readily. In this Chapter we shall investigate the possibility of obtaining some path integral analogs of the Duistermaat-Heckman formula and its generalizations. A large class of examples where one has an underlying equi