27 research outputs found
Phase Space Feynman Path Integrals : Calculation Examples via Piecewise Bicharacteristic Paths (Introductory Workshop on Feynman Path Integral and Microlocal Analysis)
Get PDFPhase space Feynman path integrals of parabolic type (Spectral and Scattering Theory and Related Topics)
Get PDFThis paper is a rough survey based on the talk at RIMS about the joint works with Prof. A. S. Vasudeva Murthy and Prof. Keiya Uchida. This survey introduces our results for the phase space path integrals of higher-order parabolic type on ℝ[d] ([10][13][14]) and on the torus T[d] with T = ℝ/(2πℤ) ([15])
ON THE CONVERGENCE OF FEYNMAN PATH INTEGRALS THROUGH BROKEN LINES (Microlocal Analysis of the Schrodinger Equation and Related Topics)
Get PDFA HAMILTONIAN PATH INTEGRAL FOR A DEGENERATE PARABOLIC PSEUDO-DIFFERENTIAL OPERATOR
Get PDFThe symbol of the fundamental solution for a degenerate parabolic pseudo-differential operator of order can be described in terms of a Hamiltonian path integral. This Hamiltonian path integral converges in the topology of the symbol class \Sn and in the weak topology of the symbol class \So
Phase space path integrals as analysis on path space (Recent development of microlocal analysis and asymptotic analysis)
Get PDFPhase Space Feynman Path Integrals : as Analysis on Path Space via Piecewise Constant Paths (Introductory Workshop on Feynman Path Integral and Microlocal Analysis)
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