A remark on the convergence of feynman path integrals for weyl pseudo-differential operators on Rn

DOI10.1080/03605308208820256zbMath0504.35086OpenAlexW2047538850MaRDI QIDQ4741120

Ahmed Intissar

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820256

zbMATH Keywords

convergenceFeynman path integralsWeyl pseudodifferential operatorsapproximate fundamental solution

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integral operators (45P05)

Related Items (2)

Symplectic areas, quantization, and dynamics in electromagnetic fields ⋮ Continuity of the integral kernel of Schrödinger propagator

Cites Work

• A construction of the fundamental solution for the Schrödinger equation
• The quasi-classical limit of quantum scattering theory
• A general calculus of pseudodifferential operators
• Fourier integral operators. I
• ON THE QUANTIZATION OF RAPIDLY OSCILLATING SYMBOLS
• Multi—products ofphase functions for fourier integral opertaors with an application
• The weyl calculus of pseudo-differential operators

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