Rigorous Time Slicing Approach to Feynman Path Integrals (Mathematical Physics Studies)

Description

Part I Convergence of Time Slicing Approximation of Feynman Path Integrals.- 1 Feynman's idea.- 2 Assumption on Potentials.- 3 Path Integrals and Oscillatory Integrals.- 4 Statement of Main Results.- 5 Convergence of Feynman Path Integrals.- 6 Feynman Path Integral and Schr]odinger Equation.- Part II Supplement-Some Results of Real Analysis.- 7 Kumano-go-Taniguchi Theorem.- 8 Stationary Phase Method for Oscillatory Integrals over a Space of Large Dimension.- 9 L2-boundedness of Oscillatory Integral Operators.- Bibliography.- Index.