Mathematics Laboratory

Naoto KUMANO-GO: Professor

Mathematical analysis have evolved with applications to engineering. In 1942, Feynman gave a new formulation of quantum mechanics, using a path integral. Path integral was a new idea, and Feynman explained it via time slicing approximation. Today path integrals are used in many areas, but the measure of path integral does not exist. By using the time slicing approximation instead of measure, we constructed mathematical theory of path integrals. This laboratory aims to construct and apply Mathematical theory for various problems.

Topics of research
  • Partial Differential Equations
  • Path Integrals
  • Probability Theory
keyword Partial Differential Equation / Path integrals

Graduate School of Engineering