Functional Integration and Semiclassical Expansions

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Contenu

I: Functional integrals defined as limits of discretized expressions.- II: Correspondence rules and functional integral representations.- III: Functional integral representations of expectation values. Time-ordered products.- IV: Perturbation expansions.- V: Short time propagators and the relations between them.- VI: Covariant definitions of functional integrals.- VII: Functional integral methods in Fokker-Planck dynamics.- VIII: Product integrals.- IX: The semiclassical expansion in phase space.- X: The semiclassical expansion in configuration space.- XI: Other approaches.- XII: Computation of the propagator on the sphere S3.- References.